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Finding the Fourth Proportional to 2,711.88, 4,066.00 and 1,414.26

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Solution

The fourth proportional to 2,711.88, 4,066.00 and 1,414.26 is: 2,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.88 : 4,066.00 = 1,414.26 : x
  2. Step 2: Convert to fraction form
    2,711.88/4,066.00 = 1,414.26/x
  3. Step 3: Cross multiply
    2,711.88x = 4,066.00 × 1,414.26
  4. Step 4: Simplify right side
    2,711.88x = 5,750,377.62
  5. Step 5: Solve for x
    x = 5,750,377.62/2,711.88
  6. Step 6: Final answer
    x = 2,120.44

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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.