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Finding the Fourth Proportional to 2,843.72, 3,924.34 and 1,584.86

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Solution

The fourth proportional to 2,843.72, 3,924.34 and 1,584.86 is: 2,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.72 : 3,924.34 = 1,584.86 : x
  2. Step 2: Convert to fraction form
    2,843.72/3,924.34 = 1,584.86/x
  3. Step 3: Cross multiply
    2,843.72x = 3,924.34 × 1,584.86
  4. Step 4: Simplify right side
    2,843.72x = 6,219,529.49
  5. Step 5: Solve for x
    x = 6,219,529.49/2,843.72
  6. Step 6: Final answer
    x = 2,187.11

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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.