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Finding the Fourth Proportional to 2,346.91, 3,238.13 and 1,402.31

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Solution

The fourth proportional to 2,346.91, 3,238.13 and 1,402.31 is: 1,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.91 : 3,238.13 = 1,402.31 : x
  2. Step 2: Convert to fraction form
    2,346.91/3,238.13 = 1,402.31/x
  3. Step 3: Cross multiply
    2,346.91x = 3,238.13 × 1,402.31
  4. Step 4: Simplify right side
    2,346.91x = 4,540,863.16
  5. Step 5: Solve for x
    x = 4,540,863.16/2,346.91
  6. Step 6: Final answer
    x = 1,934.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.