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Finding the Fourth Proportional to 2,198.10, 3,297.15 and 899.27

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Solution

The fourth proportional to 2,198.10, 3,297.15 and 899.27 is: 1,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.10 : 3,297.15 = 899.27 : x
  2. Step 2: Convert to fraction form
    2,198.10/3,297.15 = 899.27/x
  3. Step 3: Cross multiply
    2,198.10x = 3,297.15 × 899.27
  4. Step 4: Simplify right side
    2,198.10x = 2,965,028.08
  5. Step 5: Solve for x
    x = 2,965,028.08/2,198.10
  6. Step 6: Final answer
    x = 1,348.91

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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.