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Finding the Fourth Proportional to 2,469.11, 3,704.22 and 825.83

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Solution

The fourth proportional to 2,469.11, 3,704.22 and 825.83 is: 1,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.11 : 3,704.22 = 825.83 : x
  2. Step 2: Convert to fraction form
    2,469.11/3,704.22 = 825.83/x
  3. Step 3: Cross multiply
    2,469.11x = 3,704.22 × 825.83
  4. Step 4: Simplify right side
    2,469.11x = 3,059,056.00
  5. Step 5: Solve for x
    x = 3,059,056.00/2,469.11
  6. Step 6: Final answer
    x = 1,238.93

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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.