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Finding the Fourth Proportional to 2,469.64, 3,704.66 and 826.20

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Solution

The fourth proportional to 2,469.64, 3,704.66 and 826.20 is: 1,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.64 : 3,704.66 = 826.20 : x
  2. Step 2: Convert to fraction form
    2,469.64/3,704.66 = 826.20/x
  3. Step 3: Cross multiply
    2,469.64x = 3,704.66 × 826.20
  4. Step 4: Simplify right side
    2,469.64x = 3,060,790.09
  5. Step 5: Solve for x
    x = 3,060,790.09/2,469.64
  6. Step 6: Final answer
    x = 1,239.37

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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.