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Finding the Fourth Proportional to 2,743.84, 4,115.76 and 796

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Solution

The fourth proportional to 2,743.84, 4,115.76 and 796 is: 1,194

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.84 : 4,115.76 = 796 : x
  2. Step 2: Convert to fraction form
    2,743.84/4,115.76 = 796/x
  3. Step 3: Cross multiply
    2,743.84x = 4,115.76 × 796
  4. Step 4: Simplify right side
    2,743.84x = 3,276,144.96
  5. Step 5: Solve for x
    x = 3,276,144.96/2,743.84
  6. Step 6: Final answer
    x = 1,194

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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.