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Finding the Fourth Proportional to 2,088.31, 3,131.45 and 789.88

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Solution

The fourth proportional to 2,088.31, 3,131.45 and 789.88 is: 1,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.31 : 3,131.45 = 789.88 : x
  2. Step 2: Convert to fraction form
    2,088.31/3,131.45 = 789.88/x
  3. Step 3: Cross multiply
    2,088.31x = 3,131.45 × 789.88
  4. Step 4: Simplify right side
    2,088.31x = 2,473,469.73
  5. Step 5: Solve for x
    x = 2,473,469.73/2,088.31
  6. Step 6: Final answer
    x = 1,184.44

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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.