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Finding the Fourth Proportional to 2,529.20, 3,793.25 and 968.85

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Solution

The fourth proportional to 2,529.20, 3,793.25 and 968.85 is: 1,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.20 : 3,793.25 = 968.85 : x
  2. Step 2: Convert to fraction form
    2,529.20/3,793.25 = 968.85/x
  3. Step 3: Cross multiply
    2,529.20x = 3,793.25 × 968.85
  4. Step 4: Simplify right side
    2,529.20x = 3,675,092.68
  5. Step 5: Solve for x
    x = 3,675,092.68/2,529.20
  6. Step 6: Final answer
    x = 1,453.06

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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.