Derive Curve From Values Then Apply Curve To Another Dataset?

I have a data set (Set#1) that consists of a positional rank (1-240) and a dollar value ($46-$1) for each positional rank. It's not a straight line set.

DataSet.JPG

What I need to do is take that curve and apply it to another data set (Set#2) (1-240) and assign a dollar value ($46-$1) to each positional rank.

A "corner cutting" way of doing it would be an Index/Match to simply carry over the dollar value from (for example) #45 from my Set#1 to #45 in my Set#2. This could work reasonably well with data sets of the same size, but mine aren't always the same size, so I need to apply the curve itself. I