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Finding the Fourth Proportional to 2,105.78, 3,158.19 and 566.90

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Solution

The fourth proportional to 2,105.78, 3,158.19 and 566.90 is: 850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.78 : 3,158.19 = 566.90 : x
  2. Step 2: Convert to fraction form
    2,105.78/3,158.19 = 566.90/x
  3. Step 3: Cross multiply
    2,105.78x = 3,158.19 × 566.90
  4. Step 4: Simplify right side
    2,105.78x = 1,790,377.91
  5. Step 5: Solve for x
    x = 1,790,377.91/2,105.78
  6. Step 6: Final answer
    x = 850.22

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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.