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Finding the Fourth Proportional to 2,736.82, 3,776.22 and 1,896.22

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Solution

The fourth proportional to 2,736.82, 3,776.22 and 1,896.22 is: 2,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.82 : 3,776.22 = 1,896.22 : x
  2. Step 2: Convert to fraction form
    2,736.82/3,776.22 = 1,896.22/x
  3. Step 3: Cross multiply
    2,736.82x = 3,776.22 × 1,896.22
  4. Step 4: Simplify right side
    2,736.82x = 7,160,543.89
  5. Step 5: Solve for x
    x = 7,160,543.89/2,736.82
  6. Step 6: Final answer
    x = 2,616.37

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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.