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Finding the Fourth Proportional to 2,248.40, 3,371.80 and 1,016.40

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Solution

The fourth proportional to 2,248.40, 3,371.80 and 1,016.40 is: 1,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.40 : 3,371.80 = 1,016.40 : x
  2. Step 2: Convert to fraction form
    2,248.40/3,371.80 = 1,016.40/x
  3. Step 3: Cross multiply
    2,248.40x = 3,371.80 × 1,016.40
  4. Step 4: Simplify right side
    2,248.40x = 3,427,097.52
  5. Step 5: Solve for x
    x = 3,427,097.52/2,248.40
  6. Step 6: Final answer
    x = 1,524.24

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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.