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Finding the Fourth Proportional to 2,016.32, 3,024.92 and 717.78

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Solution

The fourth proportional to 2,016.32, 3,024.92 and 717.78 is: 1,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.32 : 3,024.92 = 717.78 : x
  2. Step 2: Convert to fraction form
    2,016.32/3,024.92 = 717.78/x
  3. Step 3: Cross multiply
    2,016.32x = 3,024.92 × 717.78
  4. Step 4: Simplify right side
    2,016.32x = 2,171,227.08
  5. Step 5: Solve for x
    x = 2,171,227.08/2,016.32
  6. Step 6: Final answer
    x = 1,076.83

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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.