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Finding the Fourth Proportional to 2,026.20, 3,037.77 and 793.44

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Solution

The fourth proportional to 2,026.20, 3,037.77 and 793.44 is: 1,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.20 : 3,037.77 = 793.44 : x
  2. Step 2: Convert to fraction form
    2,026.20/3,037.77 = 793.44/x
  3. Step 3: Cross multiply
    2,026.20x = 3,037.77 × 793.44
  4. Step 4: Simplify right side
    2,026.20x = 2,410,288.23
  5. Step 5: Solve for x
    x = 2,410,288.23/2,026.20
  6. Step 6: Final answer
    x = 1,189.56

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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.