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Finding the Fourth Proportional to 2,440.29, 3,660.78 and 796.43

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Solution

The fourth proportional to 2,440.29, 3,660.78 and 796.43 is: 1,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.29 : 3,660.78 = 796.43 : x
  2. Step 2: Convert to fraction form
    2,440.29/3,660.78 = 796.43/x
  3. Step 3: Cross multiply
    2,440.29x = 3,660.78 × 796.43
  4. Step 4: Simplify right side
    2,440.29x = 2,915,536.71
  5. Step 5: Solve for x
    x = 2,915,536.71/2,440.29
  6. Step 6: Final answer
    x = 1,194.75

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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.