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Finding the Fourth Proportional to 2,843.64, 3,924.45 and 1,959.93

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Solution

The fourth proportional to 2,843.64, 3,924.45 and 1,959.93 is: 2,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.64 : 3,924.45 = 1,959.93 : x
  2. Step 2: Convert to fraction form
    2,843.64/3,924.45 = 1,959.93/x
  3. Step 3: Cross multiply
    2,843.64x = 3,924.45 × 1,959.93
  4. Step 4: Simplify right side
    2,843.64x = 7,691,647.29
  5. Step 5: Solve for x
    x = 7,691,647.29/2,843.64
  6. Step 6: Final answer
    x = 2,704.86

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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.