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Finding the Fourth Proportional to 2,027.87, 3,040.01 and 796.16

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Solution

The fourth proportional to 2,027.87, 3,040.01 and 796.16 is: 1,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.87 : 3,040.01 = 796.16 : x
  2. Step 2: Convert to fraction form
    2,027.87/3,040.01 = 796.16/x
  3. Step 3: Cross multiply
    2,027.87x = 3,040.01 × 796.16
  4. Step 4: Simplify right side
    2,027.87x = 2,420,334.36
  5. Step 5: Solve for x
    x = 2,420,334.36/2,027.87
  6. Step 6: Final answer
    x = 1,193.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.