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Finding the Fourth Proportional to 2,843.10, 3,924.45 and 1,992.60

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Solution

The fourth proportional to 2,843.10, 3,924.45 and 1,992.60 is: 2,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.10 : 3,924.45 = 1,992.60 : x
  2. Step 2: Convert to fraction form
    2,843.10/3,924.45 = 1,992.60/x
  3. Step 3: Cross multiply
    2,843.10x = 3,924.45 × 1,992.60
  4. Step 4: Simplify right side
    2,843.10x = 7,819,859.07
  5. Step 5: Solve for x
    x = 7,819,859.07/2,843.10
  6. Step 6: Final answer
    x = 2,750.47

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