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Finding the Fourth Proportional to 2,469.20, 3,704.00 and 826.11

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Solution

The fourth proportional to 2,469.20, 3,704.00 and 826.11 is: 1,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.20 : 3,704.00 = 826.11 : x
  2. Step 2: Convert to fraction form
    2,469.20/3,704.00 = 826.11/x
  3. Step 3: Cross multiply
    2,469.20x = 3,704.00 × 826.11
  4. Step 4: Simplify right side
    2,469.20x = 3,059,907.31
  5. Step 5: Solve for x
    x = 3,059,907.31/2,469.20
  6. Step 6: Final answer
    x = 1,239.23

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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.