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Finding the Fourth Proportional to 3,082.91, 4,254.42 and 1,685.66

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Solution

The fourth proportional to 3,082.91, 4,254.42 and 1,685.66 is: 2,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.91 : 4,254.42 = 1,685.66 : x
  2. Step 2: Convert to fraction form
    3,082.91/4,254.42 = 1,685.66/x
  3. Step 3: Cross multiply
    3,082.91x = 4,254.42 × 1,685.66
  4. Step 4: Simplify right side
    3,082.91x = 7,171,505.62
  5. Step 5: Solve for x
    x = 7,171,505.62/3,082.91
  6. Step 6: Final answer
    x = 2,326.21

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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.