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Finding the Fourth Proportional to 3,198.53, 4,797.68 and 1,118.53

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Solution

The fourth proportional to 3,198.53, 4,797.68 and 1,118.53 is: 1,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.53 : 4,797.68 = 1,118.53 : x
  2. Step 2: Convert to fraction form
    3,198.53/4,797.68 = 1,118.53/x
  3. Step 3: Cross multiply
    3,198.53x = 4,797.68 × 1,118.53
  4. Step 4: Simplify right side
    3,198.53x = 5,366,349.01
  5. Step 5: Solve for x
    x = 5,366,349.01/3,198.53
  6. Step 6: Final answer
    x = 1,677.75

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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.