Home / 2,194.40-3,290.32-733.12

Finding the Fourth Proportional to 2,194.40, 3,290.32 and 733.12

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Solution

The fourth proportional to 2,194.40, 3,290.32 and 733.12 is: 1,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.40 : 3,290.32 = 733.12 : x
  2. Step 2: Convert to fraction form
    2,194.40/3,290.32 = 733.12/x
  3. Step 3: Cross multiply
    2,194.40x = 3,290.32 × 733.12
  4. Step 4: Simplify right side
    2,194.40x = 2,412,199.40
  5. Step 5: Solve for x
    x = 2,412,199.40/2,194.40
  6. Step 6: Final answer
    x = 1,099.25

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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.