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\frac{1}{2} \left( \frac{3}{2} - \frac{103}{2652} \right) = \frac{1}{2} \left( \frac{3978 - 103}{2652} \right) = \frac{1}{2} \cdot \frac{3875}{2652} = \frac{3875}{5304}
Thus, the exact value of the sum is \(\boxed{\dfrac{3875}{5304}}\).
Let \(x\), \(y\), and \(z\) be positive real numbers representing risk factors in a financial model, constrained by \(x + 2y + 3z = 1\). Find the minimum value of the risk exposure function \(R = \frac{1}{x} + \frac{1}{y} + \frac{1}{z}\).

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