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Finding the Fourth Proportional to 2,032.48, 3,048.72 and 799.22

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Solution

The fourth proportional to 2,032.48, 3,048.72 and 799.22 is: 1,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.48 : 3,048.72 = 799.22 : x
  2. Step 2: Convert to fraction form
    2,032.48/3,048.72 = 799.22/x
  3. Step 3: Cross multiply
    2,032.48x = 3,048.72 × 799.22
  4. Step 4: Simplify right side
    2,032.48x = 2,436,589.97
  5. Step 5: Solve for x
    x = 2,436,589.97/2,032.48
  6. Step 6: Final answer
    x = 1,198.83

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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.