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Finding the Fourth Proportional to 2,105.82, 3,158.73 and 566.82

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Solution

The fourth proportional to 2,105.82, 3,158.73 and 566.82 is: 850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.82 : 3,158.73 = 566.82 : x
  2. Step 2: Convert to fraction form
    2,105.82/3,158.73 = 566.82/x
  3. Step 3: Cross multiply
    2,105.82x = 3,158.73 × 566.82
  4. Step 4: Simplify right side
    2,105.82x = 1,790,431.34
  5. Step 5: Solve for x
    x = 1,790,431.34/2,105.82
  6. Step 6: Final answer
    x = 850.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.