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Finding the Fourth Proportional to 2,028.20, 3,040.77 and 795.44

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Solution

The fourth proportional to 2,028.20, 3,040.77 and 795.44 is: 1,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.20 : 3,040.77 = 795.44 : x
  2. Step 2: Convert to fraction form
    2,028.20/3,040.77 = 795.44/x
  3. Step 3: Cross multiply
    2,028.20x = 3,040.77 × 795.44
  4. Step 4: Simplify right side
    2,028.20x = 2,418,750.09
  5. Step 5: Solve for x
    x = 2,418,750.09/2,028.20
  6. Step 6: Final answer
    x = 1,192.56

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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.