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Finding the Fourth Proportional to 2,247.97, 3,371.73 and 787.04

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Solution

The fourth proportional to 2,247.97, 3,371.73 and 787.04 is: 1,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.97 : 3,371.73 = 787.04 : x
  2. Step 2: Convert to fraction form
    2,247.97/3,371.73 = 787.04/x
  3. Step 3: Cross multiply
    2,247.97x = 3,371.73 × 787.04
  4. Step 4: Simplify right side
    2,247.97x = 2,653,686.38
  5. Step 5: Solve for x
    x = 2,653,686.38/2,247.97
  6. Step 6: Final answer
    x = 1,180.48

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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.