Home / 2,023.50-3,035.97-998.22

Finding the Fourth Proportional to 2,023.50, 3,035.97 and 998.22

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Solution

The fourth proportional to 2,023.50, 3,035.97 and 998.22 is: 1,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.50 : 3,035.97 = 998.22 : x
  2. Step 2: Convert to fraction form
    2,023.50/3,035.97 = 998.22/x
  3. Step 3: Cross multiply
    2,023.50x = 3,035.97 × 998.22
  4. Step 4: Simplify right side
    2,023.50x = 3,030,565.97
  5. Step 5: Solve for x
    x = 3,030,565.97/2,023.50
  6. Step 6: Final answer
    x = 1,497.69

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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.