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Finding the Fourth Proportional to 2,198.31, 3,297.35 and 554.87

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Solution

The fourth proportional to 2,198.31, 3,297.35 and 554.87 is: 832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.31 : 3,297.35 = 554.87 : x
  2. Step 2: Convert to fraction form
    2,198.31/3,297.35 = 554.87/x
  3. Step 3: Cross multiply
    2,198.31x = 3,297.35 × 554.87
  4. Step 4: Simplify right side
    2,198.31x = 1,829,608.66
  5. Step 5: Solve for x
    x = 1,829,608.66/2,198.31
  6. Step 6: Final answer
    x = 832.28

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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.