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Finding the Fourth Proportional to 3,018.73, 4,527.55 and 827.27

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Solution

The fourth proportional to 3,018.73, 4,527.55 and 827.27 is: 1,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.73 : 4,527.55 = 827.27 : x
  2. Step 2: Convert to fraction form
    3,018.73/4,527.55 = 827.27/x
  3. Step 3: Cross multiply
    3,018.73x = 4,527.55 × 827.27
  4. Step 4: Simplify right side
    3,018.73x = 3,745,502.15
  5. Step 5: Solve for x
    x = 3,745,502.15/3,018.73
  6. Step 6: Final answer
    x = 1,240.76

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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.