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Finding the Fourth Proportional to 2,793.42, 3,854.49 and 1,614.26

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Solution

The fourth proportional to 2,793.42, 3,854.49 and 1,614.26 is: 2,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.42 : 3,854.49 = 1,614.26 : x
  2. Step 2: Convert to fraction form
    2,793.42/3,854.49 = 1,614.26/x
  3. Step 3: Cross multiply
    2,793.42x = 3,854.49 × 1,614.26
  4. Step 4: Simplify right side
    2,793.42x = 6,222,138.16
  5. Step 5: Solve for x
    x = 6,222,138.16/2,793.42
  6. Step 6: Final answer
    x = 2,227.43

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