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Finding the Fourth Proportional to 2,248.26, 3,371.16 and 1,014.22

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Solution

The fourth proportional to 2,248.26, 3,371.16 and 1,014.22 is: 1,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.26 : 3,371.16 = 1,014.22 : x
  2. Step 2: Convert to fraction form
    2,248.26/3,371.16 = 1,014.22/x
  3. Step 3: Cross multiply
    2,248.26x = 3,371.16 × 1,014.22
  4. Step 4: Simplify right side
    2,248.26x = 3,419,097.90
  5. Step 5: Solve for x
    x = 3,419,097.90/2,248.26
  6. Step 6: Final answer
    x = 1,520.78

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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.