In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[34.73, -66.991, 130.836, 182.18, 226.631, 181.253, 128.419, -13.221, 81.644]
[ 0.039 -0.076  0.148  0.206  0.256  0.205  0.145 -0.015  0.092]