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Finding the Fourth Proportional to 2,063.78, 3,096.12 and 658.18

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Solution

The fourth proportional to 2,063.78, 3,096.12 and 658.18 is: 987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.78 : 3,096.12 = 658.18 : x
  2. Step 2: Convert to fraction form
    2,063.78/3,096.12 = 658.18/x
  3. Step 3: Cross multiply
    2,063.78x = 3,096.12 × 658.18
  4. Step 4: Simplify right side
    2,063.78x = 2,037,793.18
  5. Step 5: Solve for x
    x = 2,037,793.18/2,063.78
  6. Step 6: Final answer
    x = 987.41

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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.