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Finding the Fourth Proportional to 2,195.78, 3,293.07 and 734.75

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Solution

The fourth proportional to 2,195.78, 3,293.07 and 734.75 is: 1,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.78 : 3,293.07 = 734.75 : x
  2. Step 2: Convert to fraction form
    2,195.78/3,293.07 = 734.75/x
  3. Step 3: Cross multiply
    2,195.78x = 3,293.07 × 734.75
  4. Step 4: Simplify right side
    2,195.78x = 2,419,583.18
  5. Step 5: Solve for x
    x = 2,419,583.18/2,195.78
  6. Step 6: Final answer
    x = 1,101.92

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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.