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Finding the Fourth Proportional to 2,001.44, 3,002.00 and 540.56

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Solution

The fourth proportional to 2,001.44, 3,002.00 and 540.56 is: 810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.44 : 3,002.00 = 540.56 : x
  2. Step 2: Convert to fraction form
    2,001.44/3,002.00 = 540.56/x
  3. Step 3: Cross multiply
    2,001.44x = 3,002.00 × 540.56
  4. Step 4: Simplify right side
    2,001.44x = 1,622,743.41
  5. Step 5: Solve for x
    x = 1,622,743.41/2,001.44
  6. Step 6: Final answer
    x = 810.79

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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.