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Finding the Fourth Proportional to 2,198.81, 3,298.22 and 1,044.29

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Solution

The fourth proportional to 2,198.81, 3,298.22 and 1,044.29 is: 1,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.81 : 3,298.22 = 1,044.29 : x
  2. Step 2: Convert to fraction form
    2,198.81/3,298.22 = 1,044.29/x
  3. Step 3: Cross multiply
    2,198.81x = 3,298.22 × 1,044.29
  4. Step 4: Simplify right side
    2,198.81x = 3,444,292.94
  5. Step 5: Solve for x
    x = 3,444,292.94/2,198.81
  6. Step 6: Final answer
    x = 1,566.44

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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.