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Finding the Fourth Proportional to 2,033.82, 3,050.62 and 717.64

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Solution

The fourth proportional to 2,033.82, 3,050.62 and 717.64 is: 1,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.82 : 3,050.62 = 717.64 : x
  2. Step 2: Convert to fraction form
    2,033.82/3,050.62 = 717.64/x
  3. Step 3: Cross multiply
    2,033.82x = 3,050.62 × 717.64
  4. Step 4: Simplify right side
    2,033.82x = 2,189,231.68
  5. Step 5: Solve for x
    x = 2,189,231.68/2,033.82
  6. Step 6: Final answer
    x = 1,076.41

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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.