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Finding the Fourth Proportional to 2,020.77, 3,027.92 and 1,826.37

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Solution

The fourth proportional to 2,020.77, 3,027.92 and 1,826.37 is: 2,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.77 : 3,027.92 = 1,826.37 : x
  2. Step 2: Convert to fraction form
    2,020.77/3,027.92 = 1,826.37/x
  3. Step 3: Cross multiply
    2,020.77x = 3,027.92 × 1,826.37
  4. Step 4: Simplify right side
    2,020.77x = 5,530,093.12
  5. Step 5: Solve for x
    x = 5,530,093.12/2,020.77
  6. Step 6: Final answer
    x = 2,736.63

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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.