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Finding the Fourth Proportional to 2,843.71, 3,924.55 and 1,584.59

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Solution

The fourth proportional to 2,843.71, 3,924.55 and 1,584.59 is: 2,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.71 : 3,924.55 = 1,584.59 : x
  2. Step 2: Convert to fraction form
    2,843.71/3,924.55 = 1,584.59/x
  3. Step 3: Cross multiply
    2,843.71x = 3,924.55 × 1,584.59
  4. Step 4: Simplify right side
    2,843.71x = 6,218,819.72
  5. Step 5: Solve for x
    x = 6,218,819.72/2,843.71
  6. Step 6: Final answer
    x = 2,186.87

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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.