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Finding the Fourth Proportional to 2,469.47, 3,704.27 and 826.02

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Solution

The fourth proportional to 2,469.47, 3,704.27 and 826.02 is: 1,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.47 : 3,704.27 = 826.02 : x
  2. Step 2: Convert to fraction form
    2,469.47/3,704.27 = 826.02/x
  3. Step 3: Cross multiply
    2,469.47x = 3,704.27 × 826.02
  4. Step 4: Simplify right side
    2,469.47x = 3,059,796.98
  5. Step 5: Solve for x
    x = 3,059,796.98/2,469.47
  6. Step 6: Final answer
    x = 1,239.05

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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.