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Finding the Fourth Proportional to 1,976.78, 2,727.90 and 1,278.56

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Solution

The fourth proportional to 1,976.78, 2,727.90 and 1,278.56 is: 1,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.78 : 2,727.90 = 1,278.56 : x
  2. Step 2: Convert to fraction form
    1,976.78/2,727.90 = 1,278.56/x
  3. Step 3: Cross multiply
    1,976.78x = 2,727.90 × 1,278.56
  4. Step 4: Simplify right side
    1,976.78x = 3,487,783.82
  5. Step 5: Solve for x
    x = 3,487,783.82/1,976.78
  6. Step 6: Final answer
    x = 1,764.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.