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Finding the Fourth Proportional to 2,736.24, 3,771.54 and 2,264.82

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Solution

The fourth proportional to 2,736.24, 3,771.54 and 2,264.82 is: 3,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.24 : 3,771.54 = 2,264.82 : x
  2. Step 2: Convert to fraction form
    2,736.24/3,771.54 = 2,264.82/x
  3. Step 3: Cross multiply
    2,736.24x = 3,771.54 × 2,264.82
  4. Step 4: Simplify right side
    2,736.24x = 8,541,859.22
  5. Step 5: Solve for x
    x = 8,541,859.22/2,736.24
  6. Step 6: Final answer
    x = 3,121.75

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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.