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Finding the Fourth Proportional to 2,027.73, 3,041.24 and 566.54

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Solution

The fourth proportional to 2,027.73, 3,041.24 and 566.54 is: 849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.73 : 3,041.24 = 566.54 : x
  2. Step 2: Convert to fraction form
    2,027.73/3,041.24 = 566.54/x
  3. Step 3: Cross multiply
    2,027.73x = 3,041.24 × 566.54
  4. Step 4: Simplify right side
    2,027.73x = 1,722,984.11
  5. Step 5: Solve for x
    x = 1,722,984.11/2,027.73
  6. Step 6: Final answer
    x = 849.71

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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.