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Finding the Fourth Proportional to 2,026.56, 3,040.79 and 1,993.80

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Solution

The fourth proportional to 2,026.56, 3,040.79 and 1,993.80 is: 2,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.56 : 3,040.79 = 1,993.80 : x
  2. Step 2: Convert to fraction form
    2,026.56/3,040.79 = 1,993.80/x
  3. Step 3: Cross multiply
    2,026.56x = 3,040.79 × 1,993.80
  4. Step 4: Simplify right side
    2,026.56x = 6,062,717.13
  5. Step 5: Solve for x
    x = 6,062,717.13/2,026.56
  6. Step 6: Final answer
    x = 2,991.63

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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.