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Finding the Fourth Proportional to 3,129.71, 4,318.99 and 1,732.46

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Solution

The fourth proportional to 3,129.71, 4,318.99 and 1,732.46 is: 2,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.71 : 4,318.99 = 1,732.46 : x
  2. Step 2: Convert to fraction form
    3,129.71/4,318.99 = 1,732.46/x
  3. Step 3: Cross multiply
    3,129.71x = 4,318.99 × 1,732.46
  4. Step 4: Simplify right side
    3,129.71x = 7,482,451.49
  5. Step 5: Solve for x
    x = 7,482,451.49/3,129.71
  6. Step 6: Final answer
    x = 2,390.78

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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.