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Finding the Fourth Proportional to 2,016.92, 2,782.56 and 1,132.52

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Solution

The fourth proportional to 2,016.92, 2,782.56 and 1,132.52 is: 1,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.92 : 2,782.56 = 1,132.52 : x
  2. Step 2: Convert to fraction form
    2,016.92/2,782.56 = 1,132.52/x
  3. Step 3: Cross multiply
    2,016.92x = 2,782.56 × 1,132.52
  4. Step 4: Simplify right side
    2,016.92x = 3,151,304.85
  5. Step 5: Solve for x
    x = 3,151,304.85/2,016.92
  6. Step 6: Final answer
    x = 1,562.43

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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.