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Finding the Fourth Proportional to 3,197.28, 4,798.32 and 1,467.12

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Solution

The fourth proportional to 3,197.28, 4,798.32 and 1,467.12 is: 2,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.28 : 4,798.32 = 1,467.12 : x
  2. Step 2: Convert to fraction form
    3,197.28/4,798.32 = 1,467.12/x
  3. Step 3: Cross multiply
    3,197.28x = 4,798.32 × 1,467.12
  4. Step 4: Simplify right side
    3,197.28x = 7,039,711.24
  5. Step 5: Solve for x
    x = 7,039,711.24/3,197.28
  6. Step 6: Final answer
    x = 2,201.78

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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.