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Finding the Fourth Proportional to 2,716.89, 4,073.45 and 1,310.46

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Solution

The fourth proportional to 2,716.89, 4,073.45 and 1,310.46 is: 1,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.89 : 4,073.45 = 1,310.46 : x
  2. Step 2: Convert to fraction form
    2,716.89/4,073.45 = 1,310.46/x
  3. Step 3: Cross multiply
    2,716.89x = 4,073.45 × 1,310.46
  4. Step 4: Simplify right side
    2,716.89x = 5,338,086.73
  5. Step 5: Solve for x
    x = 5,338,086.73/2,716.89
  6. Step 6: Final answer
    x = 1,964.78

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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.