Home / 2,282.09-3,422.23-896.09

Finding the Fourth Proportional to 2,282.09, 3,422.23 and 896.09

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Solution

The fourth proportional to 2,282.09, 3,422.23 and 896.09 is: 1,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.09 : 3,422.23 = 896.09 : x
  2. Step 2: Convert to fraction form
    2,282.09/3,422.23 = 896.09/x
  3. Step 3: Cross multiply
    2,282.09x = 3,422.23 × 896.09
  4. Step 4: Simplify right side
    2,282.09x = 3,066,626.08
  5. Step 5: Solve for x
    x = 3,066,626.08/2,282.09
  6. Step 6: Final answer
    x = 1,343.78

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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.