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Finding the Fourth Proportional to 3,027.31, 4,541.16 and 806.11

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Solution

The fourth proportional to 3,027.31, 4,541.16 and 806.11 is: 1,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.31 : 4,541.16 = 806.11 : x
  2. Step 2: Convert to fraction form
    3,027.31/4,541.16 = 806.11/x
  3. Step 3: Cross multiply
    3,027.31x = 4,541.16 × 806.11
  4. Step 4: Simplify right side
    3,027.31x = 3,660,651.60
  5. Step 5: Solve for x
    x = 3,660,651.60/3,027.31
  6. Step 6: Final answer
    x = 1,209.21

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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.