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Finding the Fourth Proportional to 2,096.08, 3,144.12 and 635.23

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Solution

The fourth proportional to 2,096.08, 3,144.12 and 635.23 is: 952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.08 : 3,144.12 = 635.23 : x
  2. Step 2: Convert to fraction form
    2,096.08/3,144.12 = 635.23/x
  3. Step 3: Cross multiply
    2,096.08x = 3,144.12 × 635.23
  4. Step 4: Simplify right side
    2,096.08x = 1,997,239.35
  5. Step 5: Solve for x
    x = 1,997,239.35/2,096.08
  6. Step 6: Final answer
    x = 952.85

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Double scale
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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.