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Finding the Fourth Proportional to 2,198.26, 3,297.38 and 554.82

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Solution

The fourth proportional to 2,198.26, 3,297.38 and 554.82 is: 832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.26 : 3,297.38 = 554.82 : x
  2. Step 2: Convert to fraction form
    2,198.26/3,297.38 = 554.82/x
  3. Step 3: Cross multiply
    2,198.26x = 3,297.38 × 554.82
  4. Step 4: Simplify right side
    2,198.26x = 1,829,453.76
  5. Step 5: Solve for x
    x = 1,829,453.76/2,198.26
  6. Step 6: Final answer
    x = 832.23

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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.