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Finding the Fourth Proportional to 2,677.14, 4,016.31 and 945.78

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Solution

The fourth proportional to 2,677.14, 4,016.31 and 945.78 is: 1,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.14 : 4,016.31 = 945.78 : x
  2. Step 2: Convert to fraction form
    2,677.14/4,016.31 = 945.78/x
  3. Step 3: Cross multiply
    2,677.14x = 4,016.31 × 945.78
  4. Step 4: Simplify right side
    2,677.14x = 3,798,545.67
  5. Step 5: Solve for x
    x = 3,798,545.67/2,677.14
  6. Step 6: Final answer
    x = 1,418.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.