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Finding the Fourth Proportional to 2,096.74, 3,144.75 and 635.54

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Solution

The fourth proportional to 2,096.74, 3,144.75 and 635.54 is: 953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.74 : 3,144.75 = 635.54 : x
  2. Step 2: Convert to fraction form
    2,096.74/3,144.75 = 635.54/x
  3. Step 3: Cross multiply
    2,096.74x = 3,144.75 × 635.54
  4. Step 4: Simplify right side
    2,096.74x = 1,998,614.42
  5. Step 5: Solve for x
    x = 1,998,614.42/2,096.74
  6. Step 6: Final answer
    x = 953.20

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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.