Home / 2,824.62-4,232.83-2,004.49

Finding the Fourth Proportional to 2,824.62, 4,232.83 and 2,004.49

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Solution

The fourth proportional to 2,824.62, 4,232.83 and 2,004.49 is: 3,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.62 : 4,232.83 = 2,004.49 : x
  2. Step 2: Convert to fraction form
    2,824.62/4,232.83 = 2,004.49/x
  3. Step 3: Cross multiply
    2,824.62x = 4,232.83 × 2,004.49
  4. Step 4: Simplify right side
    2,824.62x = 8,484,665.41
  5. Step 5: Solve for x
    x = 8,484,665.41/2,824.62
  6. Step 6: Final answer
    x = 3,003.83

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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.