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Finding the Fourth Proportional to 2,088.22, 3,132.40 and 789.78

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Solution

The fourth proportional to 2,088.22, 3,132.40 and 789.78 is: 1,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.22 : 3,132.40 = 789.78 : x
  2. Step 2: Convert to fraction form
    2,088.22/3,132.40 = 789.78/x
  3. Step 3: Cross multiply
    2,088.22x = 3,132.40 × 789.78
  4. Step 4: Simplify right side
    2,088.22x = 2,473,906.87
  5. Step 5: Solve for x
    x = 2,473,906.87/2,088.22
  6. Step 6: Final answer
    x = 1,184.70

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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.