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Finding the Fourth Proportional to 2,687.46, 3,707.82 and 1,744.49

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Solution

The fourth proportional to 2,687.46, 3,707.82 and 1,744.49 is: 2,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.46 : 3,707.82 = 1,744.49 : x
  2. Step 2: Convert to fraction form
    2,687.46/3,707.82 = 1,744.49/x
  3. Step 3: Cross multiply
    2,687.46x = 3,707.82 × 1,744.49
  4. Step 4: Simplify right side
    2,687.46x = 6,468,236.37
  5. Step 5: Solve for x
    x = 6,468,236.37/2,687.46
  6. Step 6: Final answer
    x = 2,406.82

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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.