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Finding the Fourth Proportional to 3,100.52, 4,650.68 and 760.53

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Solution

The fourth proportional to 3,100.52, 4,650.68 and 760.53 is: 1,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.52 : 4,650.68 = 760.53 : x
  2. Step 2: Convert to fraction form
    3,100.52/4,650.68 = 760.53/x
  3. Step 3: Cross multiply
    3,100.52x = 4,650.68 × 760.53
  4. Step 4: Simplify right side
    3,100.52x = 3,536,977.86
  5. Step 5: Solve for x
    x = 3,536,977.86/3,100.52
  6. Step 6: Final answer
    x = 1,140.77

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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.