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Finding the Fourth Proportional to 2,965.69, 4,092.61 and 1,639.38

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Solution

The fourth proportional to 2,965.69, 4,092.61 and 1,639.38 is: 2,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.69 : 4,092.61 = 1,639.38 : x
  2. Step 2: Convert to fraction form
    2,965.69/4,092.61 = 1,639.38/x
  3. Step 3: Cross multiply
    2,965.69x = 4,092.61 × 1,639.38
  4. Step 4: Simplify right side
    2,965.69x = 6,709,342.98
  5. Step 5: Solve for x
    x = 6,709,342.98/2,965.69
  6. Step 6: Final answer
    x = 2,262.32

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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.