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Finding the Fourth Proportional to 2,387.36, 3,580.98 and 743.90

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Solution

The fourth proportional to 2,387.36, 3,580.98 and 743.90 is: 1,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.36 : 3,580.98 = 743.90 : x
  2. Step 2: Convert to fraction form
    2,387.36/3,580.98 = 743.90/x
  3. Step 3: Cross multiply
    2,387.36x = 3,580.98 × 743.90
  4. Step 4: Simplify right side
    2,387.36x = 2,663,891.02
  5. Step 5: Solve for x
    x = 2,663,891.02/2,387.36
  6. Step 6: Final answer
    x = 1,115.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.