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Finding the Fourth Proportional to 2,268.30, 3,400.92 and 787.14

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Solution

The fourth proportional to 2,268.30, 3,400.92 and 787.14 is: 1,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.30 : 3,400.92 = 787.14 : x
  2. Step 2: Convert to fraction form
    2,268.30/3,400.92 = 787.14/x
  3. Step 3: Cross multiply
    2,268.30x = 3,400.92 × 787.14
  4. Step 4: Simplify right side
    2,268.30x = 2,677,000.17
  5. Step 5: Solve for x
    x = 2,677,000.17/2,268.30
  6. Step 6: Final answer
    x = 1,180.18

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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.