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Finding the Fourth Proportional to 2,843.54, 3,924.93 and 1,796.30

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Solution

The fourth proportional to 2,843.54, 3,924.93 and 1,796.30 is: 2,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.54 : 3,924.93 = 1,796.30 : x
  2. Step 2: Convert to fraction form
    2,843.54/3,924.93 = 1,796.30/x
  3. Step 3: Cross multiply
    2,843.54x = 3,924.93 × 1,796.30
  4. Step 4: Simplify right side
    2,843.54x = 7,050,351.76
  5. Step 5: Solve for x
    x = 7,050,351.76/2,843.54
  6. Step 6: Final answer
    x = 2,479.43

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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.