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Finding the Fourth Proportional to 2,002.72, 3,003.60 and 906.56

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Solution

The fourth proportional to 2,002.72, 3,003.60 and 906.56 is: 1,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.72 : 3,003.60 = 906.56 : x
  2. Step 2: Convert to fraction form
    2,002.72/3,003.60 = 906.56/x
  3. Step 3: Cross multiply
    2,002.72x = 3,003.60 × 906.56
  4. Step 4: Simplify right side
    2,002.72x = 2,722,943.62
  5. Step 5: Solve for x
    x = 2,722,943.62/2,002.72
  6. Step 6: Final answer
    x = 1,359.62

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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.