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Finding the Fourth Proportional to 2,049.26, 3,073.22 and 662.27

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Solution

The fourth proportional to 2,049.26, 3,073.22 and 662.27 is: 993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.26 : 3,073.22 = 662.27 : x
  2. Step 2: Convert to fraction form
    2,049.26/3,073.22 = 662.27/x
  3. Step 3: Cross multiply
    2,049.26x = 3,073.22 × 662.27
  4. Step 4: Simplify right side
    2,049.26x = 2,035,282.73
  5. Step 5: Solve for x
    x = 2,035,282.73/2,049.26
  6. Step 6: Final answer
    x = 993.18

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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.