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Finding the Fourth Proportional to 3,310.20, 4,568 and 1,797.74

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Solution

The fourth proportional to 3,310.20, 4,568 and 1,797.74 is: 2,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.20 : 4,568 = 1,797.74 : x
  2. Step 2: Convert to fraction form
    3,310.20/4,568 = 1,797.74/x
  3. Step 3: Cross multiply
    3,310.20x = 4,568 × 1,797.74
  4. Step 4: Simplify right side
    3,310.20x = 8,212,076.32
  5. Step 5: Solve for x
    x = 8,212,076.32/3,310.20
  6. Step 6: Final answer
    x = 2,480.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.