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Finding the Fourth Proportional to 2,087.80, 3,132.24 and 789.28

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Solution

The fourth proportional to 2,087.80, 3,132.24 and 789.28 is: 1,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.80 : 3,132.24 = 789.28 : x
  2. Step 2: Convert to fraction form
    2,087.80/3,132.24 = 789.28/x
  3. Step 3: Cross multiply
    2,087.80x = 3,132.24 × 789.28
  4. Step 4: Simplify right side
    2,087.80x = 2,472,214.39
  5. Step 5: Solve for x
    x = 2,472,214.39/2,087.80
  6. Step 6: Final answer
    x = 1,184.12

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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.