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Finding the Fourth Proportional to 2,206.87, 3,311.12 and 1,591.27

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Solution

The fourth proportional to 2,206.87, 3,311.12 and 1,591.27 is: 2,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.87 : 3,311.12 = 1,591.27 : x
  2. Step 2: Convert to fraction form
    2,206.87/3,311.12 = 1,591.27/x
  3. Step 3: Cross multiply
    2,206.87x = 3,311.12 × 1,591.27
  4. Step 4: Simplify right side
    2,206.87x = 5,268,885.92
  5. Step 5: Solve for x
    x = 5,268,885.92/2,206.87
  6. Step 6: Final answer
    x = 2,387.49

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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.