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Finding the Fourth Proportional to 2,992.41, 4,128.77 and 1,997.02

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Solution

The fourth proportional to 2,992.41, 4,128.77 and 1,997.02 is: 2,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.41 : 4,128.77 = 1,997.02 : x
  2. Step 2: Convert to fraction form
    2,992.41/4,128.77 = 1,997.02/x
  3. Step 3: Cross multiply
    2,992.41x = 4,128.77 × 1,997.02
  4. Step 4: Simplify right side
    2,992.41x = 8,245,246.42
  5. Step 5: Solve for x
    x = 8,245,246.42/2,992.41
  6. Step 6: Final answer
    x = 2,755.39

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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.