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Finding the Fourth Proportional to 2,027.13, 3,040.70 and 566.52

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Solution

The fourth proportional to 2,027.13, 3,040.70 and 566.52 is: 849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.13 : 3,040.70 = 566.52 : x
  2. Step 2: Convert to fraction form
    2,027.13/3,040.70 = 566.52/x
  3. Step 3: Cross multiply
    2,027.13x = 3,040.70 × 566.52
  4. Step 4: Simplify right side
    2,027.13x = 1,722,617.36
  5. Step 5: Solve for x
    x = 1,722,617.36/2,027.13
  6. Step 6: Final answer
    x = 849.78

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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.