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Finding the Fourth Proportional to 3,042.38, 4,196.98 and 1,965.28

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Solution

The fourth proportional to 3,042.38, 4,196.98 and 1,965.28 is: 2,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.38 : 4,196.98 = 1,965.28 : x
  2. Step 2: Convert to fraction form
    3,042.38/4,196.98 = 1,965.28/x
  3. Step 3: Cross multiply
    3,042.38x = 4,196.98 × 1,965.28
  4. Step 4: Simplify right side
    3,042.38x = 8,248,240.85
  5. Step 5: Solve for x
    x = 8,248,240.85/3,042.38
  6. Step 6: Final answer
    x = 2,711.11

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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.