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Finding the Fourth Proportional to 2,469.18, 3,704.70 and 825.96

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Solution

The fourth proportional to 2,469.18, 3,704.70 and 825.96 is: 1,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.18 : 3,704.70 = 825.96 : x
  2. Step 2: Convert to fraction form
    2,469.18/3,704.70 = 825.96/x
  3. Step 3: Cross multiply
    2,469.18x = 3,704.70 × 825.96
  4. Step 4: Simplify right side
    2,469.18x = 3,059,934.01
  5. Step 5: Solve for x
    x = 3,059,934.01/2,469.18
  6. Step 6: Final answer
    x = 1,239.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.