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Finding the Fourth Proportional to 2,251.74, 3,377.40 and 1,427.52

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Solution

The fourth proportional to 2,251.74, 3,377.40 and 1,427.52 is: 2,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.74 : 3,377.40 = 1,427.52 : x
  2. Step 2: Convert to fraction form
    2,251.74/3,377.40 = 1,427.52/x
  3. Step 3: Cross multiply
    2,251.74x = 3,377.40 × 1,427.52
  4. Step 4: Simplify right side
    2,251.74x = 4,821,306.05
  5. Step 5: Solve for x
    x = 4,821,306.05/2,251.74
  6. Step 6: Final answer
    x = 2,141.15

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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.