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Finding the Fourth Proportional to 2,440.38, 3,659.76 and 796.56

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Solution

The fourth proportional to 2,440.38, 3,659.76 and 796.56 is: 1,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.38 : 3,659.76 = 796.56 : x
  2. Step 2: Convert to fraction form
    2,440.38/3,659.76 = 796.56/x
  3. Step 3: Cross multiply
    2,440.38x = 3,659.76 × 796.56
  4. Step 4: Simplify right side
    2,440.38x = 2,915,218.43
  5. Step 5: Solve for x
    x = 2,915,218.43/2,440.38
  6. Step 6: Final answer
    x = 1,194.58

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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.