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Finding the Fourth Proportional to 2,843.52, 3,924.10 and 1,584.64

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Solution

The fourth proportional to 2,843.52, 3,924.10 and 1,584.64 is: 2,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.52 : 3,924.10 = 1,584.64 : x
  2. Step 2: Convert to fraction form
    2,843.52/3,924.10 = 1,584.64/x
  3. Step 3: Cross multiply
    2,843.52x = 3,924.10 × 1,584.64
  4. Step 4: Simplify right side
    2,843.52x = 6,218,285.82
  5. Step 5: Solve for x
    x = 6,218,285.82/2,843.52
  6. Step 6: Final answer
    x = 2,186.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.