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Finding the Fourth Proportional to 3,198.81, 4,797.69 and 2,271.56

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Solution

The fourth proportional to 3,198.81, 4,797.69 and 2,271.56 is: 3,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.81 : 4,797.69 = 2,271.56 : x
  2. Step 2: Convert to fraction form
    3,198.81/4,797.69 = 2,271.56/x
  3. Step 3: Cross multiply
    3,198.81x = 4,797.69 × 2,271.56
  4. Step 4: Simplify right side
    3,198.81x = 10,898,240.70
  5. Step 5: Solve for x
    x = 10,898,240.70/3,198.81
  6. Step 6: Final answer
    x = 3,406.97

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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.