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Finding the Fourth Proportional to 2,724.96, 3,761.07 and 1,663.09

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Solution

The fourth proportional to 2,724.96, 3,761.07 and 1,663.09 is: 2,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.96 : 3,761.07 = 1,663.09 : x
  2. Step 2: Convert to fraction form
    2,724.96/3,761.07 = 1,663.09/x
  3. Step 3: Cross multiply
    2,724.96x = 3,761.07 × 1,663.09
  4. Step 4: Simplify right side
    2,724.96x = 6,254,997.91
  5. Step 5: Solve for x
    x = 6,254,997.91/2,724.96
  6. Step 6: Final answer
    x = 2,295.45

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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.