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Finding the Fourth Proportional to 2,736.14, 4,103.49 and 787.88

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Solution

The fourth proportional to 2,736.14, 4,103.49 and 787.88 is: 1,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.14 : 4,103.49 = 787.88 : x
  2. Step 2: Convert to fraction form
    2,736.14/4,103.49 = 787.88/x
  3. Step 3: Cross multiply
    2,736.14x = 4,103.49 × 787.88
  4. Step 4: Simplify right side
    2,736.14x = 3,233,070.91
  5. Step 5: Solve for x
    x = 3,233,070.91/2,736.14
  6. Step 6: Final answer
    x = 1,181.62

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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.