Home / 2,282.92-3,427.62-2,178.52

Finding the Fourth Proportional to 2,282.92, 3,427.62 and 2,178.52

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Solution

The fourth proportional to 2,282.92, 3,427.62 and 2,178.52 is: 3,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.92 : 3,427.62 = 2,178.52 : x
  2. Step 2: Convert to fraction form
    2,282.92/3,427.62 = 2,178.52/x
  3. Step 3: Cross multiply
    2,282.92x = 3,427.62 × 2,178.52
  4. Step 4: Simplify right side
    2,282.92x = 7,467,138.72
  5. Step 5: Solve for x
    x = 7,467,138.72/2,282.92
  6. Step 6: Final answer
    x = 3,270.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.