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Finding the Fourth Proportional to 2,469.53, 3,704.88 and 826.19

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Solution

The fourth proportional to 2,469.53, 3,704.88 and 826.19 is: 1,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.53 : 3,704.88 = 826.19 : x
  2. Step 2: Convert to fraction form
    2,469.53/3,704.88 = 826.19/x
  3. Step 3: Cross multiply
    2,469.53x = 3,704.88 × 826.19
  4. Step 4: Simplify right side
    2,469.53x = 3,060,916.28
  5. Step 5: Solve for x
    x = 3,060,916.28/2,469.53
  6. Step 6: Final answer
    x = 1,239.48

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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.