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Finding the Fourth Proportional to 2,724.75, 3,761.10 and 1,676.84

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Solution

The fourth proportional to 2,724.75, 3,761.10 and 1,676.84 is: 2,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.75 : 3,761.10 = 1,676.84 : x
  2. Step 2: Convert to fraction form
    2,724.75/3,761.10 = 1,676.84/x
  3. Step 3: Cross multiply
    2,724.75x = 3,761.10 × 1,676.84
  4. Step 4: Simplify right side
    2,724.75x = 6,306,744.12
  5. Step 5: Solve for x
    x = 6,306,744.12/2,724.75
  6. Step 6: Final answer
    x = 2,314.61

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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.