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Finding the Fourth Proportional to 2,462.70, 3,693.84 and 731.33

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Solution

The fourth proportional to 2,462.70, 3,693.84 and 731.33 is: 1,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.70 : 3,693.84 = 731.33 : x
  2. Step 2: Convert to fraction form
    2,462.70/3,693.84 = 731.33/x
  3. Step 3: Cross multiply
    2,462.70x = 3,693.84 × 731.33
  4. Step 4: Simplify right side
    2,462.70x = 2,701,397.54
  5. Step 5: Solve for x
    x = 2,701,397.54/2,462.70
  6. Step 6: Final answer
    x = 1,096.93

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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.