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Finding the Fourth Proportional to 2,748.52, 4,122.87 and 800.87

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Solution

The fourth proportional to 2,748.52, 4,122.87 and 800.87 is: 1,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.52 : 4,122.87 = 800.87 : x
  2. Step 2: Convert to fraction form
    2,748.52/4,122.87 = 800.87/x
  3. Step 3: Cross multiply
    2,748.52x = 4,122.87 × 800.87
  4. Step 4: Simplify right side
    2,748.52x = 3,301,882.90
  5. Step 5: Solve for x
    x = 3,301,882.90/2,748.52
  6. Step 6: Final answer
    x = 1,201.33

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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.