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Finding the Fourth Proportional to 2,379.52, 3,569.61 and 735.85

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Solution

The fourth proportional to 2,379.52, 3,569.61 and 735.85 is: 1,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.52 : 3,569.61 = 735.85 : x
  2. Step 2: Convert to fraction form
    2,379.52/3,569.61 = 735.85/x
  3. Step 3: Cross multiply
    2,379.52x = 3,569.61 × 735.85
  4. Step 4: Simplify right side
    2,379.52x = 2,626,697.52
  5. Step 5: Solve for x
    x = 2,626,697.52/2,379.52
  6. Step 6: Final answer
    x = 1,103.88

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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.