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Finding the Fourth Proportional to 1,882.48, 2,821.89 and 787.15

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Solution

The fourth proportional to 1,882.48, 2,821.89 and 787.15 is: 1,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.48 : 2,821.89 = 787.15 : x
  2. Step 2: Convert to fraction form
    1,882.48/2,821.89 = 787.15/x
  3. Step 3: Cross multiply
    1,882.48x = 2,821.89 × 787.15
  4. Step 4: Simplify right side
    1,882.48x = 2,221,250.71
  5. Step 5: Solve for x
    x = 2,221,250.71/1,882.48
  6. Step 6: Final answer
    x = 1,179.96

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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.