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Finding the Fourth Proportional to 2,711.64, 4,067.46 and 980.28

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Solution

The fourth proportional to 2,711.64, 4,067.46 and 980.28 is: 1,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.64 : 4,067.46 = 980.28 : x
  2. Step 2: Convert to fraction form
    2,711.64/4,067.46 = 980.28/x
  3. Step 3: Cross multiply
    2,711.64x = 4,067.46 × 980.28
  4. Step 4: Simplify right side
    2,711.64x = 3,987,249.69
  5. Step 5: Solve for x
    x = 3,987,249.69/2,711.64
  6. Step 6: Final answer
    x = 1,470.42

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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.