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Finding the Fourth Proportional to 3,115.47, 4,672.40 and 923.61

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Solution

The fourth proportional to 3,115.47, 4,672.40 and 923.61 is: 1,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.47 : 4,672.40 = 923.61 : x
  2. Step 2: Convert to fraction form
    3,115.47/4,672.40 = 923.61/x
  3. Step 3: Cross multiply
    3,115.47x = 4,672.40 × 923.61
  4. Step 4: Simplify right side
    3,115.47x = 4,315,470.75
  5. Step 5: Solve for x
    x = 4,315,470.75/3,115.47
  6. Step 6: Final answer
    x = 1,385.17

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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.