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Finding the Fourth Proportional to 2,769.66, 4,138.26 and 2,672.76

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Solution

The fourth proportional to 2,769.66, 4,138.26 and 2,672.76 is: 3,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.66 : 4,138.26 = 2,672.76 : x
  2. Step 2: Convert to fraction form
    2,769.66/4,138.26 = 2,672.76/x
  3. Step 3: Cross multiply
    2,769.66x = 4,138.26 × 2,672.76
  4. Step 4: Simplify right side
    2,769.66x = 11,060,586.39
  5. Step 5: Solve for x
    x = 11,060,586.39/2,769.66
  6. Step 6: Final answer
    x = 3,993.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.