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Finding the Fourth Proportional to 2,676.33, 3,697.80 and 2,378.96

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Solution

The fourth proportional to 2,676.33, 3,697.80 and 2,378.96 is: 3,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.33 : 3,697.80 = 2,378.96 : x
  2. Step 2: Convert to fraction form
    2,676.33/3,697.80 = 2,378.96/x
  3. Step 3: Cross multiply
    2,676.33x = 3,697.80 × 2,378.96
  4. Step 4: Simplify right side
    2,676.33x = 8,796,899.80
  5. Step 5: Solve for x
    x = 8,796,899.80/2,676.33
  6. Step 6: Final answer
    x = 3,286.93

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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.