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Finding the Fourth Proportional to 2,374.44, 3,562.20 and 731.04

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Solution

The fourth proportional to 2,374.44, 3,562.20 and 731.04 is: 1,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.44 : 3,562.20 = 731.04 : x
  2. Step 2: Convert to fraction form
    2,374.44/3,562.20 = 731.04/x
  3. Step 3: Cross multiply
    2,374.44x = 3,562.20 × 731.04
  4. Step 4: Simplify right side
    2,374.44x = 2,604,110.69
  5. Step 5: Solve for x
    x = 2,604,110.69/2,374.44
  6. Step 6: Final answer
    x = 1,096.73

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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.