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Finding the Fourth Proportional to 2,747.70, 4,121.55 and 2,099.70

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Solution

The fourth proportional to 2,747.70, 4,121.55 and 2,099.70 is: 3,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.70 : 4,121.55 = 2,099.70 : x
  2. Step 2: Convert to fraction form
    2,747.70/4,121.55 = 2,099.70/x
  3. Step 3: Cross multiply
    2,747.70x = 4,121.55 × 2,099.70
  4. Step 4: Simplify right side
    2,747.70x = 8,654,018.54
  5. Step 5: Solve for x
    x = 8,654,018.54/2,747.70
  6. Step 6: Final answer
    x = 3,149.55

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1.5x scale

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.