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Finding the Fourth Proportional to 3,172.54, 4,755.54 and 1,324.73

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Solution

The fourth proportional to 3,172.54, 4,755.54 and 1,324.73 is: 1,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.54 : 4,755.54 = 1,324.73 : x
  2. Step 2: Convert to fraction form
    3,172.54/4,755.54 = 1,324.73/x
  3. Step 3: Cross multiply
    3,172.54x = 4,755.54 × 1,324.73
  4. Step 4: Simplify right side
    3,172.54x = 6,299,806.50
  5. Step 5: Solve for x
    x = 6,299,806.50/3,172.54
  6. Step 6: Final answer
    x = 1,985.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.