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Finding the Fourth Proportional to 2,729.43, 4,092.21 and 1,267.74

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Solution

The fourth proportional to 2,729.43, 4,092.21 and 1,267.74 is: 1,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.43 : 4,092.21 = 1,267.74 : x
  2. Step 2: Convert to fraction form
    2,729.43/4,092.21 = 1,267.74/x
  3. Step 3: Cross multiply
    2,729.43x = 4,092.21 × 1,267.74
  4. Step 4: Simplify right side
    2,729.43x = 5,187,858.31
  5. Step 5: Solve for x
    x = 5,187,858.31/2,729.43
  6. Step 6: Final answer
    x = 1,900.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.