Home / 2,194.28-3,290.74-733.09

Finding the Fourth Proportional to 2,194.28, 3,290.74 and 733.09

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Solution

The fourth proportional to 2,194.28, 3,290.74 and 733.09 is: 1,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.28 : 3,290.74 = 733.09 : x
  2. Step 2: Convert to fraction form
    2,194.28/3,290.74 = 733.09/x
  3. Step 3: Cross multiply
    2,194.28x = 3,290.74 × 733.09
  4. Step 4: Simplify right side
    2,194.28x = 2,412,408.59
  5. Step 5: Solve for x
    x = 2,412,408.59/2,194.28
  6. Step 6: Final answer
    x = 1,099.41

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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.