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Finding the Fourth Proportional to 2,755.92, 3,802.64 and 1,760.43

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Solution

The fourth proportional to 2,755.92, 3,802.64 and 1,760.43 is: 2,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.92 : 3,802.64 = 1,760.43 : x
  2. Step 2: Convert to fraction form
    2,755.92/3,802.64 = 1,760.43/x
  3. Step 3: Cross multiply
    2,755.92x = 3,802.64 × 1,760.43
  4. Step 4: Simplify right side
    2,755.92x = 6,694,272.73
  5. Step 5: Solve for x
    x = 6,694,272.73/2,755.92
  6. Step 6: Final answer
    x = 2,429.05

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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.