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Finding the Fourth Proportional to 2,251.78, 3,372.18 and 1,274.92

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Solution

The fourth proportional to 2,251.78, 3,372.18 and 1,274.92 is: 1,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.78 : 3,372.18 = 1,274.92 : x
  2. Step 2: Convert to fraction form
    2,251.78/3,372.18 = 1,274.92/x
  3. Step 3: Cross multiply
    2,251.78x = 3,372.18 × 1,274.92
  4. Step 4: Simplify right side
    2,251.78x = 4,299,259.73
  5. Step 5: Solve for x
    x = 4,299,259.73/2,251.78
  6. Step 6: Final answer
    x = 1,909.27

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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.