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Finding the Fourth Proportional to 2,096.56, 3,144.84 and 635.86

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Solution

The fourth proportional to 2,096.56, 3,144.84 and 635.86 is: 953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.56 : 3,144.84 = 635.86 : x
  2. Step 2: Convert to fraction form
    2,096.56/3,144.84 = 635.86/x
  3. Step 3: Cross multiply
    2,096.56x = 3,144.84 × 635.86
  4. Step 4: Simplify right side
    2,096.56x = 1,999,677.96
  5. Step 5: Solve for x
    x = 1,999,677.96/2,096.56
  6. Step 6: Final answer
    x = 953.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.