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Finding the Fourth Proportional to 2,762.52, 4,142.92 and 814.24

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Solution

The fourth proportional to 2,762.52, 4,142.92 and 814.24 is: 1,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.52 : 4,142.92 = 814.24 : x
  2. Step 2: Convert to fraction form
    2,762.52/4,142.92 = 814.24/x
  3. Step 3: Cross multiply
    2,762.52x = 4,142.92 × 814.24
  4. Step 4: Simplify right side
    2,762.52x = 3,373,331.18
  5. Step 5: Solve for x
    x = 3,373,331.18/2,762.52
  6. Step 6: Final answer
    x = 1,221.11

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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.