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Finding the Fourth Proportional to 2,096.30, 3,144.45 and 635.37

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Solution

The fourth proportional to 2,096.30, 3,144.45 and 635.37 is: 953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.30 : 3,144.45 = 635.37 : x
  2. Step 2: Convert to fraction form
    2,096.30/3,144.45 = 635.37/x
  3. Step 3: Cross multiply
    2,096.30x = 3,144.45 × 635.37
  4. Step 4: Simplify right side
    2,096.30x = 1,997,889.20
  5. Step 5: Solve for x
    x = 1,997,889.20/2,096.30
  6. Step 6: Final answer
    x = 953.06

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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.