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Finding the Fourth Proportional to 2,736.72, 4,105.08 and 2,192.33

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Solution

The fourth proportional to 2,736.72, 4,105.08 and 2,192.33 is: 3,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.72 : 4,105.08 = 2,192.33 : x
  2. Step 2: Convert to fraction form
    2,736.72/4,105.08 = 2,192.33/x
  3. Step 3: Cross multiply
    2,736.72x = 4,105.08 × 2,192.33
  4. Step 4: Simplify right side
    2,736.72x = 8,999,700.30
  5. Step 5: Solve for x
    x = 8,999,700.30/2,736.72
  6. Step 6: Final answer
    x = 3,288.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.