Home / 2,019.13-3,028.65-923.20

Finding the Fourth Proportional to 2,019.13, 3,028.65 and 923.20

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Solution

The fourth proportional to 2,019.13, 3,028.65 and 923.20 is: 1,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.13 : 3,028.65 = 923.20 : x
  2. Step 2: Convert to fraction form
    2,019.13/3,028.65 = 923.20/x
  3. Step 3: Cross multiply
    2,019.13x = 3,028.65 × 923.20
  4. Step 4: Simplify right side
    2,019.13x = 2,796,049.68
  5. Step 5: Solve for x
    x = 2,796,049.68/2,019.13
  6. Step 6: Final answer
    x = 1,384.78

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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.