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Finding the Fourth Proportional to 2,361.47, 3,542.13 and 1,267.97

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Solution

The fourth proportional to 2,361.47, 3,542.13 and 1,267.97 is: 1,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.47 : 3,542.13 = 1,267.97 : x
  2. Step 2: Convert to fraction form
    2,361.47/3,542.13 = 1,267.97/x
  3. Step 3: Cross multiply
    2,361.47x = 3,542.13 × 1,267.97
  4. Step 4: Simplify right side
    2,361.47x = 4,491,323.43
  5. Step 5: Solve for x
    x = 4,491,323.43/2,361.47
  6. Step 6: Final answer
    x = 1,901.92

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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.