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Finding the Fourth Proportional to 2,464.62, 3,694.58 and 820.02

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Solution

The fourth proportional to 2,464.62, 3,694.58 and 820.02 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.62 : 3,694.58 = 820.02 : x
  2. Step 2: Convert to fraction form
    2,464.62/3,694.58 = 820.02/x
  3. Step 3: Cross multiply
    2,464.62x = 3,694.58 × 820.02
  4. Step 4: Simplify right side
    2,464.62x = 3,029,625.39
  5. Step 5: Solve for x
    x = 3,029,625.39/2,464.62
  6. Step 6: Final answer
    x = 1,229.25

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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.