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Finding the Fourth Proportional to 2,029.65, 3,044.20 and 796.72

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Solution

The fourth proportional to 2,029.65, 3,044.20 and 796.72 is: 1,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.65 : 3,044.20 = 796.72 : x
  2. Step 2: Convert to fraction form
    2,029.65/3,044.20 = 796.72/x
  3. Step 3: Cross multiply
    2,029.65x = 3,044.20 × 796.72
  4. Step 4: Simplify right side
    2,029.65x = 2,425,375.02
  5. Step 5: Solve for x
    x = 2,425,375.02/2,029.65
  6. Step 6: Final answer
    x = 1,194.97

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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.