Home / 2,843.28-3,923.72-1,584.38

Finding the Fourth Proportional to 2,843.28, 3,923.72 and 1,584.38

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Solution

The fourth proportional to 2,843.28, 3,923.72 and 1,584.38 is: 2,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.28 : 3,923.72 = 1,584.38 : x
  2. Step 2: Convert to fraction form
    2,843.28/3,923.72 = 1,584.38/x
  3. Step 3: Cross multiply
    2,843.28x = 3,923.72 × 1,584.38
  4. Step 4: Simplify right side
    2,843.28x = 6,216,663.49
  5. Step 5: Solve for x
    x = 6,216,663.49/2,843.28
  6. Step 6: Final answer
    x = 2,186.44

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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.