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Finding the Fourth Proportional to 2,650.27, 3,970.50 and 1,332.49

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Solution

The fourth proportional to 2,650.27, 3,970.50 and 1,332.49 is: 1,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.27 : 3,970.50 = 1,332.49 : x
  2. Step 2: Convert to fraction form
    2,650.27/3,970.50 = 1,332.49/x
  3. Step 3: Cross multiply
    2,650.27x = 3,970.50 × 1,332.49
  4. Step 4: Simplify right side
    2,650.27x = 5,290,651.55
  5. Step 5: Solve for x
    x = 5,290,651.55/2,650.27
  6. Step 6: Final answer
    x = 1,996.27

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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.