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Finding the Fourth Proportional to 2,470.38, 3,704.81 and 826.55

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Solution

The fourth proportional to 2,470.38, 3,704.81 and 826.55 is: 1,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.38 : 3,704.81 = 826.55 : x
  2. Step 2: Convert to fraction form
    2,470.38/3,704.81 = 826.55/x
  3. Step 3: Cross multiply
    2,470.38x = 3,704.81 × 826.55
  4. Step 4: Simplify right side
    2,470.38x = 3,062,188.05
  5. Step 5: Solve for x
    x = 3,062,188.05/2,470.38
  6. Step 6: Final answer
    x = 1,239.56

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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.