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Finding the Fourth Proportional to 2,029.10, 3,043.74 and 796.40

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Solution

The fourth proportional to 2,029.10, 3,043.74 and 796.40 is: 1,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.10 : 3,043.74 = 796.40 : x
  2. Step 2: Convert to fraction form
    2,029.10/3,043.74 = 796.40/x
  3. Step 3: Cross multiply
    2,029.10x = 3,043.74 × 796.40
  4. Step 4: Simplify right side
    2,029.10x = 2,424,034.54
  5. Step 5: Solve for x
    x = 2,424,034.54/2,029.10
  6. Step 6: Final answer
    x = 1,194.64

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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.