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Finding the Fourth Proportional to 2,638.79, 3,641.52 and 1,443.78

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Solution

The fourth proportional to 2,638.79, 3,641.52 and 1,443.78 is: 1,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.79 : 3,641.52 = 1,443.78 : x
  2. Step 2: Convert to fraction form
    2,638.79/3,641.52 = 1,443.78/x
  3. Step 3: Cross multiply
    2,638.79x = 3,641.52 × 1,443.78
  4. Step 4: Simplify right side
    2,638.79x = 5,257,553.75
  5. Step 5: Solve for x
    x = 5,257,553.75/2,638.79
  6. Step 6: Final answer
    x = 1,992.41

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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.