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Finding the Fourth Proportional to 2,229.87, 3,076.20 and 1,444.17

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Solution

The fourth proportional to 2,229.87, 3,076.20 and 1,444.17 is: 1,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.87 : 3,076.20 = 1,444.17 : x
  2. Step 2: Convert to fraction form
    2,229.87/3,076.20 = 1,444.17/x
  3. Step 3: Cross multiply
    2,229.87x = 3,076.20 × 1,444.17
  4. Step 4: Simplify right side
    2,229.87x = 4,442,555.75
  5. Step 5: Solve for x
    x = 4,442,555.75/2,229.87
  6. Step 6: Final answer
    x = 1,992.29

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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.