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Finding the Fourth Proportional to 2,198.06, 3,297.99 and 1,043.06

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Solution

The fourth proportional to 2,198.06, 3,297.99 and 1,043.06 is: 1,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.06 : 3,297.99 = 1,043.06 : x
  2. Step 2: Convert to fraction form
    2,198.06/3,297.99 = 1,043.06/x
  3. Step 3: Cross multiply
    2,198.06x = 3,297.99 × 1,043.06
  4. Step 4: Simplify right side
    2,198.06x = 3,440,001.45
  5. Step 5: Solve for x
    x = 3,440,001.45/2,198.06
  6. Step 6: Final answer
    x = 1,565.02

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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.