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Finding the Fourth Proportional to 2,286.14, 3,427.05 and 988.52

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Solution

The fourth proportional to 2,286.14, 3,427.05 and 988.52 is: 1,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.14 : 3,427.05 = 988.52 : x
  2. Step 2: Convert to fraction form
    2,286.14/3,427.05 = 988.52/x
  3. Step 3: Cross multiply
    2,286.14x = 3,427.05 × 988.52
  4. Step 4: Simplify right side
    2,286.14x = 3,387,707.47
  5. Step 5: Solve for x
    x = 3,387,707.47/2,286.14
  6. Step 6: Final answer
    x = 1,481.85

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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.