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Finding the Fourth Proportional to 2,732.67, 4,094.85 and 2,002.73

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Solution

The fourth proportional to 2,732.67, 4,094.85 and 2,002.73 is: 3,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.67 : 4,094.85 = 2,002.73 : x
  2. Step 2: Convert to fraction form
    2,732.67/4,094.85 = 2,002.73/x
  3. Step 3: Cross multiply
    2,732.67x = 4,094.85 × 2,002.73
  4. Step 4: Simplify right side
    2,732.67x = 8,200,878.94
  5. Step 5: Solve for x
    x = 8,200,878.94/2,732.67
  6. Step 6: Final answer
    x = 3,001.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.