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Finding the Fourth Proportional to 2,224.38, 3,069.84 and 1,229.91

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Solution

The fourth proportional to 2,224.38, 3,069.84 and 1,229.91 is: 1,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.38 : 3,069.84 = 1,229.91 : x
  2. Step 2: Convert to fraction form
    2,224.38/3,069.84 = 1,229.91/x
  3. Step 3: Cross multiply
    2,224.38x = 3,069.84 × 1,229.91
  4. Step 4: Simplify right side
    2,224.38x = 3,775,626.91
  5. Step 5: Solve for x
    x = 3,775,626.91/2,224.38
  6. Step 6: Final answer
    x = 1,697.38

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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.