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Finding the Fourth Proportional to 2,971.80, 4,101.38 and 2,224.44

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Solution

The fourth proportional to 2,971.80, 4,101.38 and 2,224.44 is: 3,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.80 : 4,101.38 = 2,224.44 : x
  2. Step 2: Convert to fraction form
    2,971.80/4,101.38 = 2,224.44/x
  3. Step 3: Cross multiply
    2,971.80x = 4,101.38 × 2,224.44
  4. Step 4: Simplify right side
    2,971.80x = 9,123,273.73
  5. Step 5: Solve for x
    x = 9,123,273.73/2,971.80
  6. Step 6: Final answer
    x = 3,069.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.