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Finding the Fourth Proportional to 4,082.33, 6,122.59 and 1,617.71

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Solution

The fourth proportional to 4,082.33, 6,122.59 and 1,617.71 is: 2,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.33 : 6,122.59 = 1,617.71 : x
  2. Step 2: Convert to fraction form
    4,082.33/6,122.59 = 1,617.71/x
  3. Step 3: Cross multiply
    4,082.33x = 6,122.59 × 1,617.71
  4. Step 4: Simplify right side
    4,082.33x = 9,904,540.41
  5. Step 5: Solve for x
    x = 9,904,540.41/4,082.33
  6. Step 6: Final answer
    x = 2,426.20

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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.