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Finding the Fourth Proportional to 2,198.69, 3,298.03 and 1,044.17

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Solution

The fourth proportional to 2,198.69, 3,298.03 and 1,044.17 is: 1,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.69 : 3,298.03 = 1,044.17 : x
  2. Step 2: Convert to fraction form
    2,198.69/3,298.03 = 1,044.17/x
  3. Step 3: Cross multiply
    2,198.69x = 3,298.03 × 1,044.17
  4. Step 4: Simplify right side
    2,198.69x = 3,443,684.88
  5. Step 5: Solve for x
    x = 3,443,684.88/2,198.69
  6. Step 6: Final answer
    x = 1,566.25

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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.