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Finding the Fourth Proportional to 3,078.81, 4,251.29 and 2,083.73

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Solution

The fourth proportional to 3,078.81, 4,251.29 and 2,083.73 is: 2,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.81 : 4,251.29 = 2,083.73 : x
  2. Step 2: Convert to fraction form
    3,078.81/4,251.29 = 2,083.73/x
  3. Step 3: Cross multiply
    3,078.81x = 4,251.29 × 2,083.73
  4. Step 4: Simplify right side
    3,078.81x = 8,858,508.84
  5. Step 5: Solve for x
    x = 8,858,508.84/3,078.81
  6. Step 6: Final answer
    x = 2,877.25

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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.