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Finding the Fourth Proportional to 2,471.38, 3,708.52 and 912.46

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Solution

The fourth proportional to 2,471.38, 3,708.52 and 912.46 is: 1,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.38 : 3,708.52 = 912.46 : x
  2. Step 2: Convert to fraction form
    2,471.38/3,708.52 = 912.46/x
  3. Step 3: Cross multiply
    2,471.38x = 3,708.52 × 912.46
  4. Step 4: Simplify right side
    2,471.38x = 3,383,876.16
  5. Step 5: Solve for x
    x = 3,383,876.16/2,471.38
  6. Step 6: Final answer
    x = 1,369.23

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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.