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Finding the Fourth Proportional to 2,086.77, 3,128.31 and 789.15

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Solution

The fourth proportional to 2,086.77, 3,128.31 and 789.15 is: 1,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.77 : 3,128.31 = 789.15 : x
  2. Step 2: Convert to fraction form
    2,086.77/3,128.31 = 789.15/x
  3. Step 3: Cross multiply
    2,086.77x = 3,128.31 × 789.15
  4. Step 4: Simplify right side
    2,086.77x = 2,468,705.84
  5. Step 5: Solve for x
    x = 2,468,705.84/2,086.77
  6. Step 6: Final answer
    x = 1,183.03

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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.