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Finding the Fourth Proportional to 3,198.46, 4,797.42 and 1,118.11

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Solution

The fourth proportional to 3,198.46, 4,797.42 and 1,118.11 is: 1,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.46 : 4,797.42 = 1,118.11 : x
  2. Step 2: Convert to fraction form
    3,198.46/4,797.42 = 1,118.11/x
  3. Step 3: Cross multiply
    3,198.46x = 4,797.42 × 1,118.11
  4. Step 4: Simplify right side
    3,198.46x = 5,364,043.28
  5. Step 5: Solve for x
    x = 5,364,043.28/3,198.46
  6. Step 6: Final answer
    x = 1,677.07

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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.