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Finding the Fourth Proportional to 2,793.17, 3,854.30 and 1,614.21

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Solution

The fourth proportional to 2,793.17, 3,854.30 and 1,614.21 is: 2,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.17 : 3,854.30 = 1,614.21 : x
  2. Step 2: Convert to fraction form
    2,793.17/3,854.30 = 1,614.21/x
  3. Step 3: Cross multiply
    2,793.17x = 3,854.30 × 1,614.21
  4. Step 4: Simplify right side
    2,793.17x = 6,221,641.53
  5. Step 5: Solve for x
    x = 6,221,641.53/2,793.17
  6. Step 6: Final answer
    x = 2,227.45

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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.