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Finding the Fourth Proportional to 2,194.56, 3,292.34 and 733.73

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Solution

The fourth proportional to 2,194.56, 3,292.34 and 733.73 is: 1,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.56 : 3,292.34 = 733.73 : x
  2. Step 2: Convert to fraction form
    2,194.56/3,292.34 = 733.73/x
  3. Step 3: Cross multiply
    2,194.56x = 3,292.34 × 733.73
  4. Step 4: Simplify right side
    2,194.56x = 2,415,668.50
  5. Step 5: Solve for x
    x = 2,415,668.50/2,194.56
  6. Step 6: Final answer
    x = 1,100.75

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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.