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Finding the Fourth Proportional to 3,198.38, 4,797.09 and 1,007.64

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Solution

The fourth proportional to 3,198.38, 4,797.09 and 1,007.64 is: 1,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.38 : 4,797.09 = 1,007.64 : x
  2. Step 2: Convert to fraction form
    3,198.38/4,797.09 = 1,007.64/x
  3. Step 3: Cross multiply
    3,198.38x = 4,797.09 × 1,007.64
  4. Step 4: Simplify right side
    3,198.38x = 4,833,739.77
  5. Step 5: Solve for x
    x = 4,833,739.77/3,198.38
  6. Step 6: Final answer
    x = 1,511.31

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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.