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Finding the Fourth Proportional to 3,170.69, 4,753.47 and 1,323.20

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Solution

The fourth proportional to 3,170.69, 4,753.47 and 1,323.20 is: 1,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.69 : 4,753.47 = 1,323.20 : x
  2. Step 2: Convert to fraction form
    3,170.69/4,753.47 = 1,323.20/x
  3. Step 3: Cross multiply
    3,170.69x = 4,753.47 × 1,323.20
  4. Step 4: Simplify right side
    3,170.69x = 6,289,791.50
  5. Step 5: Solve for x
    x = 6,289,791.50/3,170.69
  6. Step 6: Final answer
    x = 1,983.73

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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.