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Finding the Fourth Proportional to 2,843.67, 3,924.96 and 2,057.58

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Solution

The fourth proportional to 2,843.67, 3,924.96 and 2,057.58 is: 2,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.67 : 3,924.96 = 2,057.58 : x
  2. Step 2: Convert to fraction form
    2,843.67/3,924.96 = 2,057.58/x
  3. Step 3: Cross multiply
    2,843.67x = 3,924.96 × 2,057.58
  4. Step 4: Simplify right side
    2,843.67x = 8,075,919.20
  5. Step 5: Solve for x
    x = 8,075,919.20/2,843.67
  6. Step 6: Final answer
    x = 2,839.96

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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.