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Finding the Fourth Proportional to 2,524.97, 3,787.61 and 793.59

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Solution

The fourth proportional to 2,524.97, 3,787.61 and 793.59 is: 1,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.97 : 3,787.61 = 793.59 : x
  2. Step 2: Convert to fraction form
    2,524.97/3,787.61 = 793.59/x
  3. Step 3: Cross multiply
    2,524.97x = 3,787.61 × 793.59
  4. Step 4: Simplify right side
    2,524.97x = 3,005,819.66
  5. Step 5: Solve for x
    x = 3,005,819.66/2,524.97
  6. Step 6: Final answer
    x = 1,190.44

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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.