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Finding the Fourth Proportional to 4,119.97, 6,180.17 and 1,198.51

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Solution

The fourth proportional to 4,119.97, 6,180.17 and 1,198.51 is: 1,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.97 : 6,180.17 = 1,198.51 : x
  2. Step 2: Convert to fraction form
    4,119.97/6,180.17 = 1,198.51/x
  3. Step 3: Cross multiply
    4,119.97x = 6,180.17 × 1,198.51
  4. Step 4: Simplify right side
    4,119.97x = 7,406,995.55
  5. Step 5: Solve for x
    x = 7,406,995.55/4,119.97
  6. Step 6: Final answer
    x = 1,797.83

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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.