Segment $AB$ is $2808$ units long. Point $X$ is the midpoint of segment $AB.$ Point $R$ is $\frac{3}{5}$ of the way from $X$ to $B.$ Point $S$ is $\frac{2}{17}$ of the way from $X$ to $R.$ How many units long is segment $RS \, ?$
A X S R B
XB = 2808 / 2 = 1404
XR = (3/5)XB (3/5)(1404) = 842.4
XS = (2/17)XR = (2/17)842.4 = 8424/ 95
RS = XR - XS = 842.4 - 8424/95 = 71604/95 ≈ 753.73
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