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Finding the Fourth Proportional to 3,172.91, 4,757.76 and 1,323.54

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Solution

The fourth proportional to 3,172.91, 4,757.76 and 1,323.54 is: 1,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.91 : 4,757.76 = 1,323.54 : x
  2. Step 2: Convert to fraction form
    3,172.91/4,757.76 = 1,323.54/x
  3. Step 3: Cross multiply
    3,172.91x = 4,757.76 × 1,323.54
  4. Step 4: Simplify right side
    3,172.91x = 6,297,085.67
  5. Step 5: Solve for x
    x = 6,297,085.67/3,172.91
  6. Step 6: Final answer
    x = 1,984.64

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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.