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Finding the Fourth Proportional to 2,965.38, 4,092 and 1,639.11

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Solution

The fourth proportional to 2,965.38, 4,092 and 1,639.11 is: 2,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.38 : 4,092 = 1,639.11 : x
  2. Step 2: Convert to fraction form
    2,965.38/4,092 = 1,639.11/x
  3. Step 3: Cross multiply
    2,965.38x = 4,092 × 1,639.11
  4. Step 4: Simplify right side
    2,965.38x = 6,707,238.12
  5. Step 5: Solve for x
    x = 6,707,238.12/2,965.38
  6. Step 6: Final answer
    x = 2,261.85

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Why These Related Problems?

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