Home / 2,121.84-3,180.92-822.38

Finding the Fourth Proportional to 2,121.84, 3,180.92 and 822.38

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Solution

The fourth proportional to 2,121.84, 3,180.92 and 822.38 is: 1,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.84 : 3,180.92 = 822.38 : x
  2. Step 2: Convert to fraction form
    2,121.84/3,180.92 = 822.38/x
  3. Step 3: Cross multiply
    2,121.84x = 3,180.92 × 822.38
  4. Step 4: Simplify right side
    2,121.84x = 2,615,904.97
  5. Step 5: Solve for x
    x = 2,615,904.97/2,121.84
  6. Step 6: Final answer
    x = 1,232.85

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1.5x scale

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.