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Finding the Fourth Proportional to 2,096.35, 3,144.08 and 635.18

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Solution

The fourth proportional to 2,096.35, 3,144.08 and 635.18 is: 952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.35 : 3,144.08 = 635.18 : x
  2. Step 2: Convert to fraction form
    2,096.35/3,144.08 = 635.18/x
  3. Step 3: Cross multiply
    2,096.35x = 3,144.08 × 635.18
  4. Step 4: Simplify right side
    2,096.35x = 1,997,042.60
  5. Step 5: Solve for x
    x = 1,997,042.60/2,096.35
  6. Step 6: Final answer
    x = 952.63

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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.