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Finding the Fourth Proportional to 3,131.32, 4,691.07 and 2,434.61

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Solution

The fourth proportional to 3,131.32, 4,691.07 and 2,434.61 is: 3,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.32 : 4,691.07 = 2,434.61 : x
  2. Step 2: Convert to fraction form
    3,131.32/4,691.07 = 2,434.61/x
  3. Step 3: Cross multiply
    3,131.32x = 4,691.07 × 2,434.61
  4. Step 4: Simplify right side
    3,131.32x = 11,420,920.07
  5. Step 5: Solve for x
    x = 11,420,920.07/3,131.32
  6. Step 6: Final answer
    x = 3,647.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.