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Finding the Fourth Proportional to 2,890.92, 3,990.94 and 2,005.18

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Solution

The fourth proportional to 2,890.92, 3,990.94 and 2,005.18 is: 2,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.92 : 3,990.94 = 2,005.18 : x
  2. Step 2: Convert to fraction form
    2,890.92/3,990.94 = 2,005.18/x
  3. Step 3: Cross multiply
    2,890.92x = 3,990.94 × 2,005.18
  4. Step 4: Simplify right side
    2,890.92x = 8,002,553.07
  5. Step 5: Solve for x
    x = 8,002,553.07/2,890.92
  6. Step 6: Final answer
    x = 2,768.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.