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Finding the Fourth Proportional to 2,194.93, 3,291.36 and 733.69

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Solution

The fourth proportional to 2,194.93, 3,291.36 and 733.69 is: 1,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.93 : 3,291.36 = 733.69 : x
  2. Step 2: Convert to fraction form
    2,194.93/3,291.36 = 733.69/x
  3. Step 3: Cross multiply
    2,194.93x = 3,291.36 × 733.69
  4. Step 4: Simplify right side
    2,194.93x = 2,414,837.92
  5. Step 5: Solve for x
    x = 2,414,837.92/2,194.93
  6. Step 6: Final answer
    x = 1,100.19

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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.