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Finding the Fourth Proportional to 2,721.33, 4,078.89 and 1,257.39

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Solution

The fourth proportional to 2,721.33, 4,078.89 and 1,257.39 is: 1,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.33 : 4,078.89 = 1,257.39 : x
  2. Step 2: Convert to fraction form
    2,721.33/4,078.89 = 1,257.39/x
  3. Step 3: Cross multiply
    2,721.33x = 4,078.89 × 1,257.39
  4. Step 4: Simplify right side
    2,721.33x = 5,128,755.50
  5. Step 5: Solve for x
    x = 5,128,755.50/2,721.33
  6. Step 6: Final answer
    x = 1,884.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.