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Finding the Fourth Proportional to 2,027.44, 3,040.84 and 566.47

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Solution

The fourth proportional to 2,027.44, 3,040.84 and 566.47 is: 849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.44 : 3,040.84 = 566.47 : x
  2. Step 2: Convert to fraction form
    2,027.44/3,040.84 = 566.47/x
  3. Step 3: Cross multiply
    2,027.44x = 3,040.84 × 566.47
  4. Step 4: Simplify right side
    2,027.44x = 1,722,544.63
  5. Step 5: Solve for x
    x = 1,722,544.63/2,027.44
  6. Step 6: Final answer
    x = 849.62

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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.