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Finding the Fourth Proportional to 2,747.42, 4,121.10 and 667.42

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Solution

The fourth proportional to 2,747.42, 4,121.10 and 667.42 is: 1,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.42 : 4,121.10 = 667.42 : x
  2. Step 2: Convert to fraction form
    2,747.42/4,121.10 = 667.42/x
  3. Step 3: Cross multiply
    2,747.42x = 4,121.10 × 667.42
  4. Step 4: Simplify right side
    2,747.42x = 2,750,504.56
  5. Step 5: Solve for x
    x = 2,750,504.56/2,747.42
  6. Step 6: Final answer
    x = 1,001.12

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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.