Home / 2,286.22-3,427.28-824.35

Finding the Fourth Proportional to 2,286.22, 3,427.28 and 824.35

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Solution

The fourth proportional to 2,286.22, 3,427.28 and 824.35 is: 1,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.22 : 3,427.28 = 824.35 : x
  2. Step 2: Convert to fraction form
    2,286.22/3,427.28 = 824.35/x
  3. Step 3: Cross multiply
    2,286.22x = 3,427.28 × 824.35
  4. Step 4: Simplify right side
    2,286.22x = 2,825,265.58
  5. Step 5: Solve for x
    x = 2,825,265.58/2,286.22
  6. Step 6: Final answer
    x = 1,235.78

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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.