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Finding the Fourth Proportional to 2,793.14, 3,854.22 and 1,614.62

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Solution

The fourth proportional to 2,793.14, 3,854.22 and 1,614.62 is: 2,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.14 : 3,854.22 = 1,614.62 : x
  2. Step 2: Convert to fraction form
    2,793.14/3,854.22 = 1,614.62/x
  3. Step 3: Cross multiply
    2,793.14x = 3,854.22 × 1,614.62
  4. Step 4: Simplify right side
    2,793.14x = 6,223,100.70
  5. Step 5: Solve for x
    x = 6,223,100.70/2,793.14
  6. Step 6: Final answer
    x = 2,227.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.