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Finding the Fourth Proportional to 2,204.76, 3,306.42 and 743.55

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Solution

The fourth proportional to 2,204.76, 3,306.42 and 743.55 is: 1,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.76 : 3,306.42 = 743.55 : x
  2. Step 2: Convert to fraction form
    2,204.76/3,306.42 = 743.55/x
  3. Step 3: Cross multiply
    2,204.76x = 3,306.42 × 743.55
  4. Step 4: Simplify right side
    2,204.76x = 2,458,488.59
  5. Step 5: Solve for x
    x = 2,458,488.59/2,204.76
  6. Step 6: Final answer
    x = 1,115.08

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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.