In terms of conversions, we should use the currency the OP does. If they've specified a limit in US$, then we should reference the price of the item in the US. Likewise, if it's in EUR, then use the European price.
Proof is unnecessary - if someone takes the advice of an answer and finds the price different, they can downvote, comment, or edit as necessary. Take into account that prices change, too, so keeping an answer up to date may be difficult, especially when you have lots of answers.
As to considering them as limits - well, use your common sense and the context of what the OP has written. If they specify an "absolute limit", then don't go over it. If they say "around", then give it ± 20%, or something like that.