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Finding the Fourth Proportional to 2,676.50, 3,693.62 and 1,614.25

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Solution

The fourth proportional to 2,676.50, 3,693.62 and 1,614.25 is: 2,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.50 : 3,693.62 = 1,614.25 : x
  2. Step 2: Convert to fraction form
    2,676.50/3,693.62 = 1,614.25/x
  3. Step 3: Cross multiply
    2,676.50x = 3,693.62 × 1,614.25
  4. Step 4: Simplify right side
    2,676.50x = 5,962,408.78
  5. Step 5: Solve for x
    x = 5,962,408.78/2,676.50
  6. Step 6: Final answer
    x = 2,227.69

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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.