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Finding the Fourth Proportional to 1,721.80, 2,578.02 and 1,308.97

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Solution

The fourth proportional to 1,721.80, 2,578.02 and 1,308.97 is: 1,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.80 : 2,578.02 = 1,308.97 : x
  2. Step 2: Convert to fraction form
    1,721.80/2,578.02 = 1,308.97/x
  3. Step 3: Cross multiply
    1,721.80x = 2,578.02 × 1,308.97
  4. Step 4: Simplify right side
    1,721.80x = 3,374,550.84
  5. Step 5: Solve for x
    x = 3,374,550.84/1,721.80
  6. Step 6: Final answer
    x = 1,959.90

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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.