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Finding the Fourth Proportional to 3,198.74, 4,798.60 and 1,350.38

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Solution

The fourth proportional to 3,198.74, 4,798.60 and 1,350.38 is: 2,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.74 : 4,798.60 = 1,350.38 : x
  2. Step 2: Convert to fraction form
    3,198.74/4,798.60 = 1,350.38/x
  3. Step 3: Cross multiply
    3,198.74x = 4,798.60 × 1,350.38
  4. Step 4: Simplify right side
    3,198.74x = 6,479,933.47
  5. Step 5: Solve for x
    x = 6,479,933.47/3,198.74
  6. Step 6: Final answer
    x = 2,025.78

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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.