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Finding the Fourth Proportional to 2,195.68, 3,293.16 and 734.83

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Solution

The fourth proportional to 2,195.68, 3,293.16 and 734.83 is: 1,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.68 : 3,293.16 = 734.83 : x
  2. Step 2: Convert to fraction form
    2,195.68/3,293.16 = 734.83/x
  3. Step 3: Cross multiply
    2,195.68x = 3,293.16 × 734.83
  4. Step 4: Simplify right side
    2,195.68x = 2,419,912.76
  5. Step 5: Solve for x
    x = 2,419,912.76/2,195.68
  6. Step 6: Final answer
    x = 1,102.12

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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.