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Finding the Fourth Proportional to 2,099.70, 3,149.91 and 866.43

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Solution

The fourth proportional to 2,099.70, 3,149.91 and 866.43 is: 1,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.70 : 3,149.91 = 866.43 : x
  2. Step 2: Convert to fraction form
    2,099.70/3,149.91 = 866.43/x
  3. Step 3: Cross multiply
    2,099.70x = 3,149.91 × 866.43
  4. Step 4: Simplify right side
    2,099.70x = 2,729,176.52
  5. Step 5: Solve for x
    x = 2,729,176.52/2,099.70
  6. Step 6: Final answer
    x = 1,299.79

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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.