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Finding the Fourth Proportional to 2,198.73, 3,302.97 and 1,793.73

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Solution

The fourth proportional to 2,198.73, 3,302.97 and 1,793.73 is: 2,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.73 : 3,302.97 = 1,793.73 : x
  2. Step 2: Convert to fraction form
    2,198.73/3,302.97 = 1,793.73/x
  3. Step 3: Cross multiply
    2,198.73x = 3,302.97 × 1,793.73
  4. Step 4: Simplify right side
    2,198.73x = 5,924,636.38
  5. Step 5: Solve for x
    x = 5,924,636.38/2,198.73
  6. Step 6: Final answer
    x = 2,694.57

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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.