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Finding the Fourth Proportional to 2,205.42, 3,306.56 and 1,997.82

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Solution

The fourth proportional to 2,205.42, 3,306.56 and 1,997.82 is: 2,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.42 : 3,306.56 = 1,997.82 : x
  2. Step 2: Convert to fraction form
    2,205.42/3,306.56 = 1,997.82/x
  3. Step 3: Cross multiply
    2,205.42x = 3,306.56 × 1,997.82
  4. Step 4: Simplify right side
    2,205.42x = 6,605,916.69
  5. Step 5: Solve for x
    x = 6,605,916.69/2,205.42
  6. Step 6: Final answer
    x = 2,995.31

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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.