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Finding the Fourth Proportional to 2,027.02, 3,040.55 and 566.29

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Solution

The fourth proportional to 2,027.02, 3,040.55 and 566.29 is: 849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.02 : 3,040.55 = 566.29 : x
  2. Step 2: Convert to fraction form
    2,027.02/3,040.55 = 566.29/x
  3. Step 3: Cross multiply
    2,027.02x = 3,040.55 × 566.29
  4. Step 4: Simplify right side
    2,027.02x = 1,721,833.06
  5. Step 5: Solve for x
    x = 1,721,833.06/2,027.02
  6. Step 6: Final answer
    x = 849.44

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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.