Home / 2,217.24-3,325.94-830.43

Finding the Fourth Proportional to 2,217.24, 3,325.94 and 830.43

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Solution

The fourth proportional to 2,217.24, 3,325.94 and 830.43 is: 1,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.24 : 3,325.94 = 830.43 : x
  2. Step 2: Convert to fraction form
    2,217.24/3,325.94 = 830.43/x
  3. Step 3: Cross multiply
    2,217.24x = 3,325.94 × 830.43
  4. Step 4: Simplify right side
    2,217.24x = 2,761,970.75
  5. Step 5: Solve for x
    x = 2,761,970.75/2,217.24
  6. Step 6: Final answer
    x = 1,245.68

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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.