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Finding the Fourth Proportional to 2,096.14, 3,143.46 and 614.95

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Solution

The fourth proportional to 2,096.14, 3,143.46 and 614.95 is: 922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.14 : 3,143.46 = 614.95 : x
  2. Step 2: Convert to fraction form
    2,096.14/3,143.46 = 614.95/x
  3. Step 3: Cross multiply
    2,096.14x = 3,143.46 × 614.95
  4. Step 4: Simplify right side
    2,096.14x = 1,933,070.73
  5. Step 5: Solve for x
    x = 1,933,070.73/2,096.14
  6. Step 6: Final answer
    x = 922.20

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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.