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Finding the Fourth Proportional to 2,906.38, 4,012.83 and 2,233.06

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Solution

The fourth proportional to 2,906.38, 4,012.83 and 2,233.06 is: 3,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.38 : 4,012.83 = 2,233.06 : x
  2. Step 2: Convert to fraction form
    2,906.38/4,012.83 = 2,233.06/x
  3. Step 3: Cross multiply
    2,906.38x = 4,012.83 × 2,233.06
  4. Step 4: Simplify right side
    2,906.38x = 8,960,890.16
  5. Step 5: Solve for x
    x = 8,960,890.16/2,906.38
  6. Step 6: Final answer
    x = 3,083.18

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Why These Related Problems?

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