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Finding the Fourth Proportional to 1,610.33, 2,414.52 and 787.55

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Solution

The fourth proportional to 1,610.33, 2,414.52 and 787.55 is: 1,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.33 : 2,414.52 = 787.55 : x
  2. Step 2: Convert to fraction form
    1,610.33/2,414.52 = 787.55/x
  3. Step 3: Cross multiply
    1,610.33x = 2,414.52 × 787.55
  4. Step 4: Simplify right side
    1,610.33x = 1,901,543.15
  5. Step 5: Solve for x
    x = 1,901,543.15/1,610.33
  6. Step 6: Final answer
    x = 1,180.84

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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.