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Finding the Fourth Proportional to 2,029.29, 3,043.80 and 796.91

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Solution

The fourth proportional to 2,029.29, 3,043.80 and 796.91 is: 1,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.29 : 3,043.80 = 796.91 : x
  2. Step 2: Convert to fraction form
    2,029.29/3,043.80 = 796.91/x
  3. Step 3: Cross multiply
    2,029.29x = 3,043.80 × 796.91
  4. Step 4: Simplify right side
    2,029.29x = 2,425,630.85
  5. Step 5: Solve for x
    x = 2,425,630.85/2,029.29
  6. Step 6: Final answer
    x = 1,195.31

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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.