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Finding the Fourth Proportional to 2,694.12, 3,716.49 and 1,748.73

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Solution

The fourth proportional to 2,694.12, 3,716.49 and 1,748.73 is: 2,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.12 : 3,716.49 = 1,748.73 : x
  2. Step 2: Convert to fraction form
    2,694.12/3,716.49 = 1,748.73/x
  3. Step 3: Cross multiply
    2,694.12x = 3,716.49 × 1,748.73
  4. Step 4: Simplify right side
    2,694.12x = 6,499,137.56
  5. Step 5: Solve for x
    x = 6,499,137.56/2,694.12
  6. Step 6: Final answer
    x = 2,412.34

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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.