Nonlinear System

Algebra Level 3

\[\large \begin {cases} ab = 2 \\ bc = 3 \\ ca = 4 \end {cases} \]

If \(a, b,\) and \(c\) are real numbers, determine \(\left| a + b + c \right|\), to one decimal place.

Notation: \(| \cdot |\) denotes absolute value function.

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