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Finding the Fourth Proportional to 2,682.33, 3,997.17 and 2,594.25

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Solution

The fourth proportional to 2,682.33, 3,997.17 and 2,594.25 is: 3,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.33 : 3,997.17 = 2,594.25 : x
  2. Step 2: Convert to fraction form
    2,682.33/3,997.17 = 2,594.25/x
  3. Step 3: Cross multiply
    2,682.33x = 3,997.17 × 2,594.25
  4. Step 4: Simplify right side
    2,682.33x = 10,369,658.27
  5. Step 5: Solve for x
    x = 10,369,658.27/2,682.33
  6. Step 6: Final answer
    x = 3,865.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.