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Finding the Fourth Proportional to 2,711.88, 4,067.84 and 980.50

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Solution

The fourth proportional to 2,711.88, 4,067.84 and 980.50 is: 1,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.88 : 4,067.84 = 980.50 : x
  2. Step 2: Convert to fraction form
    2,711.88/4,067.84 = 980.50/x
  3. Step 3: Cross multiply
    2,711.88x = 4,067.84 × 980.50
  4. Step 4: Simplify right side
    2,711.88x = 3,988,517.12
  5. Step 5: Solve for x
    x = 3,988,517.12/2,711.88
  6. Step 6: Final answer
    x = 1,470.76

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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.