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Finding the Fourth Proportional to 2,323.17, 3,481.97 and 1,006.56

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Solution

The fourth proportional to 2,323.17, 3,481.97 and 1,006.56 is: 1,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.17 : 3,481.97 = 1,006.56 : x
  2. Step 2: Convert to fraction form
    2,323.17/3,481.97 = 1,006.56/x
  3. Step 3: Cross multiply
    2,323.17x = 3,481.97 × 1,006.56
  4. Step 4: Simplify right side
    2,323.17x = 3,504,806.69
  5. Step 5: Solve for x
    x = 3,504,806.69/2,323.17
  6. Step 6: Final answer
    x = 1,508.63

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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.