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Finding the Fourth Proportional to 2,472.27, 3,708.01 and 828.83

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Solution

The fourth proportional to 2,472.27, 3,708.01 and 828.83 is: 1,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.27 : 3,708.01 = 828.83 : x
  2. Step 2: Convert to fraction form
    2,472.27/3,708.01 = 828.83/x
  3. Step 3: Cross multiply
    2,472.27x = 3,708.01 × 828.83
  4. Step 4: Simplify right side
    2,472.27x = 3,073,299.38
  5. Step 5: Solve for x
    x = 3,073,299.38/2,472.27
  6. Step 6: Final answer
    x = 1,243.11

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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.