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Finding the Fourth Proportional to 2,105.52, 3,158.36 and 566.56

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Solution

The fourth proportional to 2,105.52, 3,158.36 and 566.56 is: 849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.52 : 3,158.36 = 566.56 : x
  2. Step 2: Convert to fraction form
    2,105.52/3,158.36 = 566.56/x
  3. Step 3: Cross multiply
    2,105.52x = 3,158.36 × 566.56
  4. Step 4: Simplify right side
    2,105.52x = 1,789,400.44
  5. Step 5: Solve for x
    x = 1,789,400.44/2,105.52
  6. Step 6: Final answer
    x = 849.86

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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.