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Finding the Fourth Proportional to 2,027.18, 3,040.96 and 566.36

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Solution

The fourth proportional to 2,027.18, 3,040.96 and 566.36 is: 849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.18 : 3,040.96 = 566.36 : x
  2. Step 2: Convert to fraction form
    2,027.18/3,040.96 = 566.36/x
  3. Step 3: Cross multiply
    2,027.18x = 3,040.96 × 566.36
  4. Step 4: Simplify right side
    2,027.18x = 1,722,278.11
  5. Step 5: Solve for x
    x = 1,722,278.11/2,027.18
  6. Step 6: Final answer
    x = 849.59

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Why These Related Problems?

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