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Finding the Fourth Proportional to 2,191.21, 3,286.10 and 729.97

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Solution

The fourth proportional to 2,191.21, 3,286.10 and 729.97 is: 1,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.21 : 3,286.10 = 729.97 : x
  2. Step 2: Convert to fraction form
    2,191.21/3,286.10 = 729.97/x
  3. Step 3: Cross multiply
    2,191.21x = 3,286.10 × 729.97
  4. Step 4: Simplify right side
    2,191.21x = 2,398,737.99
  5. Step 5: Solve for x
    x = 2,398,737.99/2,191.21
  6. Step 6: Final answer
    x = 1,094.71

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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.