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Finding the Fourth Proportional to 2,096.04, 3,142.84 and 634.80

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Solution

The fourth proportional to 2,096.04, 3,142.84 and 634.80 is: 951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.04 : 3,142.84 = 634.80 : x
  2. Step 2: Convert to fraction form
    2,096.04/3,142.84 = 634.80/x
  3. Step 3: Cross multiply
    2,096.04x = 3,142.84 × 634.80
  4. Step 4: Simplify right side
    2,096.04x = 1,995,074.83
  5. Step 5: Solve for x
    x = 1,995,074.83/2,096.04
  6. Step 6: Final answer
    x = 951.83

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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.