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Finding the Fourth Proportional to 2,520.52, 3,780.74 and 765.52

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Solution

The fourth proportional to 2,520.52, 3,780.74 and 765.52 is: 1,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.52 : 3,780.74 = 765.52 : x
  2. Step 2: Convert to fraction form
    2,520.52/3,780.74 = 765.52/x
  3. Step 3: Cross multiply
    2,520.52x = 3,780.74 × 765.52
  4. Step 4: Simplify right side
    2,520.52x = 2,894,224.55
  5. Step 5: Solve for x
    x = 2,894,224.55/2,520.52
  6. Step 6: Final answer
    x = 1,148.27

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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.