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Finding the Fourth Proportional to 2,854.46, 4,243.17 and 2,770.38

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Solution

The fourth proportional to 2,854.46, 4,243.17 and 2,770.38 is: 4,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.46 : 4,243.17 = 2,770.38 : x
  2. Step 2: Convert to fraction form
    2,854.46/4,243.17 = 2,770.38/x
  3. Step 3: Cross multiply
    2,854.46x = 4,243.17 × 2,770.38
  4. Step 4: Simplify right side
    2,854.46x = 11,755,193.30
  5. Step 5: Solve for x
    x = 11,755,193.30/2,854.46
  6. Step 6: Final answer
    x = 4,118.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.