Home / 2,020.95-3,031.61-722.43

Finding the Fourth Proportional to 2,020.95, 3,031.61 and 722.43

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Solution

The fourth proportional to 2,020.95, 3,031.61 and 722.43 is: 1,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.95 : 3,031.61 = 722.43 : x
  2. Step 2: Convert to fraction form
    2,020.95/3,031.61 = 722.43/x
  3. Step 3: Cross multiply
    2,020.95x = 3,031.61 × 722.43
  4. Step 4: Simplify right side
    2,020.95x = 2,190,122.40
  5. Step 5: Solve for x
    x = 2,190,122.40/2,020.95
  6. Step 6: Final answer
    x = 1,083.71

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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.