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RE Space, you do need quite a lot of open area to give the projector space to fill a decent area too though (less so if you've permission to mount it on the ceiling).

I'd be surprised if a good short throw 4K projector is $1k (but if you've got recs within that range I'm very interested)

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Ars reviewed a good short throw 4K projector yesterday, but it’s $2700 https://arstechnica.com/gadgets/2019/10/4k-projector-turns-a...

That’s an ultra short throw which is different as it’s aiming for around 2 inches from the projector to the screen. Short throw is more in the 4 foot range while producing an image several times that size. https://youtu.be/Fu_U0HS7axk

A normal projector is 11+ feet from the screen. The diagonal being approximately the same as the distance from the projector to the screen.

I have seen short throw 4K projectors from around 1,500$ but IMO they are a poor fit for home theater as the screen ends up as a bright object in people’s view.

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