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Finding the Fourth Proportional to 3,271.80, 4,908.90 and 1,324.20

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Solution

The fourth proportional to 3,271.80, 4,908.90 and 1,324.20 is: 1,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.80 : 4,908.90 = 1,324.20 : x
  2. Step 2: Convert to fraction form
    3,271.80/4,908.90 = 1,324.20/x
  3. Step 3: Cross multiply
    3,271.80x = 4,908.90 × 1,324.20
  4. Step 4: Simplify right side
    3,271.80x = 6,500,365.38
  5. Step 5: Solve for x
    x = 6,500,365.38/3,271.80
  6. Step 6: Final answer
    x = 1,986.79

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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.