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Finding the Fourth Proportional to 2,992.44, 4,131.24 and 1,984.26

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Solution

The fourth proportional to 2,992.44, 4,131.24 and 1,984.26 is: 2,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.44 : 4,131.24 = 1,984.26 : x
  2. Step 2: Convert to fraction form
    2,992.44/4,131.24 = 1,984.26/x
  3. Step 3: Cross multiply
    2,992.44x = 4,131.24 × 1,984.26
  4. Step 4: Simplify right side
    2,992.44x = 8,197,454.28
  5. Step 5: Solve for x
    x = 8,197,454.28/2,992.44
  6. Step 6: Final answer
    x = 2,739.39

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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.