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Finding the Fourth Proportional to 2,248.14, 3,371.16 and 787.11

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Solution

The fourth proportional to 2,248.14, 3,371.16 and 787.11 is: 1,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.14 : 3,371.16 = 787.11 : x
  2. Step 2: Convert to fraction form
    2,248.14/3,371.16 = 787.11/x
  3. Step 3: Cross multiply
    2,248.14x = 3,371.16 × 787.11
  4. Step 4: Simplify right side
    2,248.14x = 2,653,473.75
  5. Step 5: Solve for x
    x = 2,653,473.75/2,248.14
  6. Step 6: Final answer
    x = 1,180.30

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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.