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Finding the Fourth Proportional to 2,743.44, 4,114.43 and 768.95

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Solution

The fourth proportional to 2,743.44, 4,114.43 and 768.95 is: 1,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.44 : 4,114.43 = 768.95 : x
  2. Step 2: Convert to fraction form
    2,743.44/4,114.43 = 768.95/x
  3. Step 3: Cross multiply
    2,743.44x = 4,114.43 × 768.95
  4. Step 4: Simplify right side
    2,743.44x = 3,163,797.39
  5. Step 5: Solve for x
    x = 3,163,797.39/2,743.44
  6. Step 6: Final answer
    x = 1,153.22

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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.