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Finding the Fourth Proportional to 2,440.38, 3,659.85 and 796.53

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Solution

The fourth proportional to 2,440.38, 3,659.85 and 796.53 is: 1,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.38 : 3,659.85 = 796.53 : x
  2. Step 2: Convert to fraction form
    2,440.38/3,659.85 = 796.53/x
  3. Step 3: Cross multiply
    2,440.38x = 3,659.85 × 796.53
  4. Step 4: Simplify right side
    2,440.38x = 2,915,180.32
  5. Step 5: Solve for x
    x = 2,915,180.32/2,440.38
  6. Step 6: Final answer
    x = 1,194.56

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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.