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Finding the Fourth Proportional to 2,638.41, 3,640.95 and 1,443.39

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Solution

The fourth proportional to 2,638.41, 3,640.95 and 1,443.39 is: 1,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.41 : 3,640.95 = 1,443.39 : x
  2. Step 2: Convert to fraction form
    2,638.41/3,640.95 = 1,443.39/x
  3. Step 3: Cross multiply
    2,638.41x = 3,640.95 × 1,443.39
  4. Step 4: Simplify right side
    2,638.41x = 5,255,310.82
  5. Step 5: Solve for x
    x = 5,255,310.82/2,638.41
  6. Step 6: Final answer
    x = 1,991.85

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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.