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Finding the Fourth Proportional to 2,719.97, 3,753.83 and 1,657.66

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Solution

The fourth proportional to 2,719.97, 3,753.83 and 1,657.66 is: 2,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.97 : 3,753.83 = 1,657.66 : x
  2. Step 2: Convert to fraction form
    2,719.97/3,753.83 = 1,657.66/x
  3. Step 3: Cross multiply
    2,719.97x = 3,753.83 × 1,657.66
  4. Step 4: Simplify right side
    2,719.97x = 6,222,546.78
  5. Step 5: Solve for x
    x = 6,222,546.78/2,719.97
  6. Step 6: Final answer
    x = 2,287.73

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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.