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Finding the Fourth Proportional to 2,650.50, 3,974.64 and 1,190.64

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Solution

The fourth proportional to 2,650.50, 3,974.64 and 1,190.64 is: 1,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.50 : 3,974.64 = 1,190.64 : x
  2. Step 2: Convert to fraction form
    2,650.50/3,974.64 = 1,190.64/x
  3. Step 3: Cross multiply
    2,650.50x = 3,974.64 × 1,190.64
  4. Step 4: Simplify right side
    2,650.50x = 4,732,365.37
  5. Step 5: Solve for x
    x = 4,732,365.37/2,650.50
  6. Step 6: Final answer
    x = 1,785.46

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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.