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Finding the Fourth Proportional to 1,882.52, 2,821.82 and 787.52

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Solution

The fourth proportional to 1,882.52, 2,821.82 and 787.52 is: 1,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.52 : 2,821.82 = 787.52 : x
  2. Step 2: Convert to fraction form
    1,882.52/2,821.82 = 787.52/x
  3. Step 3: Cross multiply
    1,882.52x = 2,821.82 × 787.52
  4. Step 4: Simplify right side
    1,882.52x = 2,222,239.69
  5. Step 5: Solve for x
    x = 2,222,239.69/1,882.52
  6. Step 6: Final answer
    x = 1,180.46

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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.