Home / 3,022.05-4,532.54-830.30

Finding the Fourth Proportional to 3,022.05, 4,532.54 and 830.30

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Solution

The fourth proportional to 3,022.05, 4,532.54 and 830.30 is: 1,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.05 : 4,532.54 = 830.30 : x
  2. Step 2: Convert to fraction form
    3,022.05/4,532.54 = 830.30/x
  3. Step 3: Cross multiply
    3,022.05x = 4,532.54 × 830.30
  4. Step 4: Simplify right side
    3,022.05x = 3,763,341.15
  5. Step 5: Solve for x
    x = 3,763,341.15/3,022.05
  6. Step 6: Final answer
    x = 1,245.29

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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.