Home / 3,022.22-4,532.50-830.42

Finding the Fourth Proportional to 3,022.22, 4,532.50 and 830.42

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Solution

The fourth proportional to 3,022.22, 4,532.50 and 830.42 is: 1,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.22 : 4,532.50 = 830.42 : x
  2. Step 2: Convert to fraction form
    3,022.22/4,532.50 = 830.42/x
  3. Step 3: Cross multiply
    3,022.22x = 4,532.50 × 830.42
  4. Step 4: Simplify right side
    3,022.22x = 3,763,887.91
  5. Step 5: Solve for x
    x = 3,763,887.91/3,022.22
  6. Step 6: Final answer
    x = 1,245.41

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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.