Home / 2,022-3,021.30-1,606.80

Finding the Fourth Proportional to 2,022, 3,021.30 and 1,606.80

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Solution

The fourth proportional to 2,022, 3,021.30 and 1,606.80 is: 2,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 3,021.30 = 1,606.80 : x
  2. Step 2: Convert to fraction form
    2,022/3,021.30 = 1,606.80/x
  3. Step 3: Cross multiply
    2,022x = 3,021.30 × 1,606.80
  4. Step 4: Simplify right side
    2,022x = 4,854,624.84
  5. Step 5: Solve for x
    x = 4,854,624.84/2,022
  6. Step 6: Final answer
    x = 2,400.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.