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Finding the Fourth Proportional to 2,198.63, 3,297.31 and 717.89

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Solution

The fourth proportional to 2,198.63, 3,297.31 and 717.89 is: 1,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.63 : 3,297.31 = 717.89 : x
  2. Step 2: Convert to fraction form
    2,198.63/3,297.31 = 717.89/x
  3. Step 3: Cross multiply
    2,198.63x = 3,297.31 × 717.89
  4. Step 4: Simplify right side
    2,198.63x = 2,367,087.59
  5. Step 5: Solve for x
    x = 2,367,087.59/2,198.63
  6. Step 6: Final answer
    x = 1,076.62

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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.