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Finding the Fourth Proportional to 3,002.73, 4,138.80 and 2,007.64

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Solution

The fourth proportional to 3,002.73, 4,138.80 and 2,007.64 is: 2,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.73 : 4,138.80 = 2,007.64 : x
  2. Step 2: Convert to fraction form
    3,002.73/4,138.80 = 2,007.64/x
  3. Step 3: Cross multiply
    3,002.73x = 4,138.80 × 2,007.64
  4. Step 4: Simplify right side
    3,002.73x = 8,309,220.43
  5. Step 5: Solve for x
    x = 8,309,220.43/3,002.73
  6. Step 6: Final answer
    x = 2,767.22

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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.