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Finding the Fourth Proportional to 3,172.57, 4,759.77 and 1,322.73

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Solution

The fourth proportional to 3,172.57, 4,759.77 and 1,322.73 is: 1,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.57 : 4,759.77 = 1,322.73 : x
  2. Step 2: Convert to fraction form
    3,172.57/4,759.77 = 1,322.73/x
  3. Step 3: Cross multiply
    3,172.57x = 4,759.77 × 1,322.73
  4. Step 4: Simplify right side
    3,172.57x = 6,295,890.57
  5. Step 5: Solve for x
    x = 6,295,890.57/3,172.57
  6. Step 6: Final answer
    x = 1,984.48

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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.