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Finding the Fourth Proportional to 2,608.35, 3,912.91 and 759.23

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Solution

The fourth proportional to 2,608.35, 3,912.91 and 759.23 is: 1,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.35 : 3,912.91 = 759.23 : x
  2. Step 2: Convert to fraction form
    2,608.35/3,912.91 = 759.23/x
  3. Step 3: Cross multiply
    2,608.35x = 3,912.91 × 759.23
  4. Step 4: Simplify right side
    2,608.35x = 2,970,798.66
  5. Step 5: Solve for x
    x = 2,970,798.66/2,608.35
  6. Step 6: Final answer
    x = 1,138.96

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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.