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Finding the Fourth Proportional to 2,096.57, 2,906.70 and 1,979.93

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Solution

The fourth proportional to 2,096.57, 2,906.70 and 1,979.93 is: 2,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.57 : 2,906.70 = 1,979.93 : x
  2. Step 2: Convert to fraction form
    2,096.57/2,906.70 = 1,979.93/x
  3. Step 3: Cross multiply
    2,096.57x = 2,906.70 × 1,979.93
  4. Step 4: Simplify right side
    2,096.57x = 5,755,055.42
  5. Step 5: Solve for x
    x = 5,755,055.42/2,096.57
  6. Step 6: Final answer
    x = 2,744.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.