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Finding the Fourth Proportional to 2,197.69, 3,033.17 and 1,266.73

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Solution

The fourth proportional to 2,197.69, 3,033.17 and 1,266.73 is: 1,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.69 : 3,033.17 = 1,266.73 : x
  2. Step 2: Convert to fraction form
    2,197.69/3,033.17 = 1,266.73/x
  3. Step 3: Cross multiply
    2,197.69x = 3,033.17 × 1,266.73
  4. Step 4: Simplify right side
    2,197.69x = 3,842,198.27
  5. Step 5: Solve for x
    x = 3,842,198.27/2,197.69
  6. Step 6: Final answer
    x = 1,748.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.