The concentration dependence of the mutual diffusion coefficients in the ternary liquid mixture glycerol + acetone + water is determined at 298.15 K by the Taylor dispersion technique along two concentration paths of a constant water mole fraction of x(3) = 0.60 and 0.80, respectively. The eigenvalues of Fick's diffusion coefficient matrix are given. The present paper is a continuation of part 1 with measurements along concentration paths in the vicinity of the critical solution point and of part 2 in the acetone-rich region.