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Finding the Fourth Proportional to 2,198.24, 3,298.44 and 899

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Solution

The fourth proportional to 2,198.24, 3,298.44 and 899 is: 1,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.24 : 3,298.44 = 899 : x
  2. Step 2: Convert to fraction form
    2,198.24/3,298.44 = 899/x
  3. Step 3: Cross multiply
    2,198.24x = 3,298.44 × 899
  4. Step 4: Simplify right side
    2,198.24x = 2,965,297.56
  5. Step 5: Solve for x
    x = 2,965,297.56/2,198.24
  6. Step 6: Final answer
    x = 1,348.94

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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.