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Finding the Fourth Proportional to 3,041.63, 4,198.24 and 1,982.30

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Solution

The fourth proportional to 3,041.63, 4,198.24 and 1,982.30 is: 2,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.63 : 4,198.24 = 1,982.30 : x
  2. Step 2: Convert to fraction form
    3,041.63/4,198.24 = 1,982.30/x
  3. Step 3: Cross multiply
    3,041.63x = 4,198.24 × 1,982.30
  4. Step 4: Simplify right side
    3,041.63x = 8,322,171.15
  5. Step 5: Solve for x
    x = 8,322,171.15/3,041.63
  6. Step 6: Final answer
    x = 2,736.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.