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Finding the Fourth Proportional to 2,906.72, 4,007.04 and 2,206.88

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Solution

The fourth proportional to 2,906.72, 4,007.04 and 2,206.88 is: 3,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.72 : 4,007.04 = 2,206.88 : x
  2. Step 2: Convert to fraction form
    2,906.72/4,007.04 = 2,206.88/x
  3. Step 3: Cross multiply
    2,906.72x = 4,007.04 × 2,206.88
  4. Step 4: Simplify right side
    2,906.72x = 8,843,056.44
  5. Step 5: Solve for x
    x = 8,843,056.44/2,906.72
  6. Step 6: Final answer
    x = 3,042.28

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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.