Home / 3,022-4,170.37-1,763.92

Finding the Fourth Proportional to 3,022, 4,170.37 and 1,763.92

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Solution

The fourth proportional to 3,022, 4,170.37 and 1,763.92 is: 2,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022 : 4,170.37 = 1,763.92 : x
  2. Step 2: Convert to fraction form
    3,022/4,170.37 = 1,763.92/x
  3. Step 3: Cross multiply
    3,022x = 4,170.37 × 1,763.92
  4. Step 4: Simplify right side
    3,022x = 7,356,199.05
  5. Step 5: Solve for x
    x = 7,356,199.05/3,022
  6. Step 6: Final answer
    x = 2,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.