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Finding the Fourth Proportional to 2,191.16, 3,286.74 and 891.76

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Solution

The fourth proportional to 2,191.16, 3,286.74 and 891.76 is: 1,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.16 : 3,286.74 = 891.76 : x
  2. Step 2: Convert to fraction form
    2,191.16/3,286.74 = 891.76/x
  3. Step 3: Cross multiply
    2,191.16x = 3,286.74 × 891.76
  4. Step 4: Simplify right side
    2,191.16x = 2,930,983.26
  5. Step 5: Solve for x
    x = 2,930,983.26/2,191.16
  6. Step 6: Final answer
    x = 1,337.64

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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.