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Finding the Fourth Proportional to 2,711.63, 4,067.85 and 980.66

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Solution

The fourth proportional to 2,711.63, 4,067.85 and 980.66 is: 1,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.63 : 4,067.85 = 980.66 : x
  2. Step 2: Convert to fraction form
    2,711.63/4,067.85 = 980.66/x
  3. Step 3: Cross multiply
    2,711.63x = 4,067.85 × 980.66
  4. Step 4: Simplify right side
    2,711.63x = 3,989,157.44
  5. Step 5: Solve for x
    x = 3,989,157.44/2,711.63
  6. Step 6: Final answer
    x = 1,471.13

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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.