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Finding the Fourth Proportional to 2,843.56, 3,924.01 and 1,584.55

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Solution

The fourth proportional to 2,843.56, 3,924.01 and 1,584.55 is: 2,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.56 : 3,924.01 = 1,584.55 : x
  2. Step 2: Convert to fraction form
    2,843.56/3,924.01 = 1,584.55/x
  3. Step 3: Cross multiply
    2,843.56x = 3,924.01 × 1,584.55
  4. Step 4: Simplify right side
    2,843.56x = 6,217,790.05
  5. Step 5: Solve for x
    x = 6,217,790.05/2,843.56
  6. Step 6: Final answer
    x = 2,186.62

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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.