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Finding the Fourth Proportional to 2,608.61, 3,912.98 and 759.78

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Solution

The fourth proportional to 2,608.61, 3,912.98 and 759.78 is: 1,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.61 : 3,912.98 = 759.78 : x
  2. Step 2: Convert to fraction form
    2,608.61/3,912.98 = 759.78/x
  3. Step 3: Cross multiply
    2,608.61x = 3,912.98 × 759.78
  4. Step 4: Simplify right side
    2,608.61x = 2,973,000.15
  5. Step 5: Solve for x
    x = 2,973,000.15/2,608.61
  6. Step 6: Final answer
    x = 1,139.69

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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.