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Finding the Fourth Proportional to 2,469.24, 3,704.40 and 825.72

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Solution

The fourth proportional to 2,469.24, 3,704.40 and 825.72 is: 1,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.24 : 3,704.40 = 825.72 : x
  2. Step 2: Convert to fraction form
    2,469.24/3,704.40 = 825.72/x
  3. Step 3: Cross multiply
    2,469.24x = 3,704.40 × 825.72
  4. Step 4: Simplify right side
    2,469.24x = 3,058,797.17
  5. Step 5: Solve for x
    x = 3,058,797.17/2,469.24
  6. Step 6: Final answer
    x = 1,238.76

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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.