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Finding the Fourth Proportional to 2,087.82, 3,132.08 and 991.59

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Solution

The fourth proportional to 2,087.82, 3,132.08 and 991.59 is: 1,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.82 : 3,132.08 = 991.59 : x
  2. Step 2: Convert to fraction form
    2,087.82/3,132.08 = 991.59/x
  3. Step 3: Cross multiply
    2,087.82x = 3,132.08 × 991.59
  4. Step 4: Simplify right side
    2,087.82x = 3,105,734.25
  5. Step 5: Solve for x
    x = 3,105,734.25/2,087.82
  6. Step 6: Final answer
    x = 1,487.55

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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.