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Finding the Fourth Proportional to 2,002.06, 3,003.27 and 541.20

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Solution

The fourth proportional to 2,002.06, 3,003.27 and 541.20 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.06 : 3,003.27 = 541.20 : x
  2. Step 2: Convert to fraction form
    2,002.06/3,003.27 = 541.20/x
  3. Step 3: Cross multiply
    2,002.06x = 3,003.27 × 541.20
  4. Step 4: Simplify right side
    2,002.06x = 1,625,369.72
  5. Step 5: Solve for x
    x = 1,625,369.72/2,002.06
  6. Step 6: Final answer
    x = 811.85

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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.