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Finding the Fourth Proportional to 2,997.68, 4,135.97 and 1,738.49

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Solution

The fourth proportional to 2,997.68, 4,135.97 and 1,738.49 is: 2,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.68 : 4,135.97 = 1,738.49 : x
  2. Step 2: Convert to fraction form
    2,997.68/4,135.97 = 1,738.49/x
  3. Step 3: Cross multiply
    2,997.68x = 4,135.97 × 1,738.49
  4. Step 4: Simplify right side
    2,997.68x = 7,190,326.15
  5. Step 5: Solve for x
    x = 7,190,326.15/2,997.68
  6. Step 6: Final answer
    x = 2,398.63

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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.