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Finding the Fourth Proportional to 2,843.37, 3,924.14 and 2,046.47

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Solution

The fourth proportional to 2,843.37, 3,924.14 and 2,046.47 is: 2,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.37 : 3,924.14 = 2,046.47 : x
  2. Step 2: Convert to fraction form
    2,843.37/3,924.14 = 2,046.47/x
  3. Step 3: Cross multiply
    2,843.37x = 3,924.14 × 2,046.47
  4. Step 4: Simplify right side
    2,843.37x = 8,030,604.93
  5. Step 5: Solve for x
    x = 8,030,604.93/2,843.37
  6. Step 6: Final answer
    x = 2,824.33

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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.