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Finding the Fourth Proportional to 2,191.14, 3,286.80 and 892.50

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Solution

The fourth proportional to 2,191.14, 3,286.80 and 892.50 is: 1,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.14 : 3,286.80 = 892.50 : x
  2. Step 2: Convert to fraction form
    2,191.14/3,286.80 = 892.50/x
  3. Step 3: Cross multiply
    2,191.14x = 3,286.80 × 892.50
  4. Step 4: Simplify right side
    2,191.14x = 2,933,469
  5. Step 5: Solve for x
    x = 2,933,469/2,191.14
  6. Step 6: Final answer
    x = 1,338.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.