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Finding the Fourth Proportional to 1,469.20, 2,198.38 and 884.56

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Solution

The fourth proportional to 1,469.20, 2,198.38 and 884.56 is: 1,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.20 : 2,198.38 = 884.56 : x
  2. Step 2: Convert to fraction form
    1,469.20/2,198.38 = 884.56/x
  3. Step 3: Cross multiply
    1,469.20x = 2,198.38 × 884.56
  4. Step 4: Simplify right side
    1,469.20x = 1,944,599.01
  5. Step 5: Solve for x
    x = 1,944,599.01/1,469.20
  6. Step 6: Final answer
    x = 1,323.58

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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.