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Finding the Fourth Proportional to 1,361.62, 2,042.14 and 667.61

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Solution

The fourth proportional to 1,361.62, 2,042.14 and 667.61 is: 1,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.62 : 2,042.14 = 667.61 : x
  2. Step 2: Convert to fraction form
    1,361.62/2,042.14 = 667.61/x
  3. Step 3: Cross multiply
    1,361.62x = 2,042.14 × 667.61
  4. Step 4: Simplify right side
    1,361.62x = 1,363,353.09
  5. Step 5: Solve for x
    x = 1,363,353.09/1,361.62
  6. Step 6: Final answer
    x = 1,001.27

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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.