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Finding the Fourth Proportional to 2,198.12, 3,296.32 and 899.16

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Solution

The fourth proportional to 2,198.12, 3,296.32 and 899.16 is: 1,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.12 : 3,296.32 = 899.16 : x
  2. Step 2: Convert to fraction form
    2,198.12/3,296.32 = 899.16/x
  3. Step 3: Cross multiply
    2,198.12x = 3,296.32 × 899.16
  4. Step 4: Simplify right side
    2,198.12x = 2,963,919.09
  5. Step 5: Solve for x
    x = 2,963,919.09/2,198.12
  6. Step 6: Final answer
    x = 1,348.39

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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.