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Finding the Fourth Proportional to 2,083.89, 2,872.79 and 1,286.68

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Solution

The fourth proportional to 2,083.89, 2,872.79 and 1,286.68 is: 1,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.89 : 2,872.79 = 1,286.68 : x
  2. Step 2: Convert to fraction form
    2,083.89/2,872.79 = 1,286.68/x
  3. Step 3: Cross multiply
    2,083.89x = 2,872.79 × 1,286.68
  4. Step 4: Simplify right side
    2,083.89x = 3,696,361.44
  5. Step 5: Solve for x
    x = 3,696,361.44/2,083.89
  6. Step 6: Final answer
    x = 1,773.78

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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.