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Finding the Fourth Proportional to 2,096.42, 3,144.92 and 635.67

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Solution

The fourth proportional to 2,096.42, 3,144.92 and 635.67 is: 953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.42 : 3,144.92 = 635.67 : x
  2. Step 2: Convert to fraction form
    2,096.42/3,144.92 = 635.67/x
  3. Step 3: Cross multiply
    2,096.42x = 3,144.92 × 635.67
  4. Step 4: Simplify right side
    2,096.42x = 1,999,128.12
  5. Step 5: Solve for x
    x = 1,999,128.12/2,096.42
  6. Step 6: Final answer
    x = 953.59

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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.