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Finding the Fourth Proportional to 2,029.69, 3,043.63 and 796.15

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Solution

The fourth proportional to 2,029.69, 3,043.63 and 796.15 is: 1,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.69 : 3,043.63 = 796.15 : x
  2. Step 2: Convert to fraction form
    2,029.69/3,043.63 = 796.15/x
  3. Step 3: Cross multiply
    2,029.69x = 3,043.63 × 796.15
  4. Step 4: Simplify right side
    2,029.69x = 2,423,186.02
  5. Step 5: Solve for x
    x = 2,423,186.02/2,029.69
  6. Step 6: Final answer
    x = 1,193.87

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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.