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Finding the Fourth Proportional to 2,808.86, 3,876.40 and 1,614.23

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Solution

The fourth proportional to 2,808.86, 3,876.40 and 1,614.23 is: 2,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.86 : 3,876.40 = 1,614.23 : x
  2. Step 2: Convert to fraction form
    2,808.86/3,876.40 = 1,614.23/x
  3. Step 3: Cross multiply
    2,808.86x = 3,876.40 × 1,614.23
  4. Step 4: Simplify right side
    2,808.86x = 6,257,377.75
  5. Step 5: Solve for x
    x = 6,257,377.75/2,808.86
  6. Step 6: Final answer
    x = 2,227.73

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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.