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Finding the Fourth Proportional to 2,520.90, 3,781.89 and 765.96

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Solution

The fourth proportional to 2,520.90, 3,781.89 and 765.96 is: 1,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.90 : 3,781.89 = 765.96 : x
  2. Step 2: Convert to fraction form
    2,520.90/3,781.89 = 765.96/x
  3. Step 3: Cross multiply
    2,520.90x = 3,781.89 × 765.96
  4. Step 4: Simplify right side
    2,520.90x = 2,896,776.46
  5. Step 5: Solve for x
    x = 2,896,776.46/2,520.90
  6. Step 6: Final answer
    x = 1,149.10

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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.