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Finding the Fourth Proportional to 2,470.05, 3,704.94 and 826.43

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Solution

The fourth proportional to 2,470.05, 3,704.94 and 826.43 is: 1,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.05 : 3,704.94 = 826.43 : x
  2. Step 2: Convert to fraction form
    2,470.05/3,704.94 = 826.43/x
  3. Step 3: Cross multiply
    2,470.05x = 3,704.94 × 826.43
  4. Step 4: Simplify right side
    2,470.05x = 3,061,855.04
  5. Step 5: Solve for x
    x = 3,061,855.04/2,470.05
  6. Step 6: Final answer
    x = 1,239.59

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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.