Home / 2,843.60-3,924.16-1,584.65

Finding the Fourth Proportional to 2,843.60, 3,924.16 and 1,584.65

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Solution

The fourth proportional to 2,843.60, 3,924.16 and 1,584.65 is: 2,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.60 : 3,924.16 = 1,584.65 : x
  2. Step 2: Convert to fraction form
    2,843.60/3,924.16 = 1,584.65/x
  3. Step 3: Cross multiply
    2,843.60x = 3,924.16 × 1,584.65
  4. Step 4: Simplify right side
    2,843.60x = 6,218,396.56
  5. Step 5: Solve for x
    x = 6,218,396.56/2,843.60
  6. Step 6: Final answer
    x = 2,186.81

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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.