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Finding the Fourth Proportional to 2,463.23, 3,695.46 and 731.86

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Solution

The fourth proportional to 2,463.23, 3,695.46 and 731.86 is: 1,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.23 : 3,695.46 = 731.86 : x
  2. Step 2: Convert to fraction form
    2,463.23/3,695.46 = 731.86/x
  3. Step 3: Cross multiply
    2,463.23x = 3,695.46 × 731.86
  4. Step 4: Simplify right side
    2,463.23x = 2,704,540.88
  5. Step 5: Solve for x
    x = 2,704,540.88/2,463.23
  6. Step 6: Final answer
    x = 1,097.97

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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.