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Finding the Fourth Proportional to 3,282.88, 4,920.77 and 1,618.16

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Solution

The fourth proportional to 3,282.88, 4,920.77 and 1,618.16 is: 2,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.88 : 4,920.77 = 1,618.16 : x
  2. Step 2: Convert to fraction form
    3,282.88/4,920.77 = 1,618.16/x
  3. Step 3: Cross multiply
    3,282.88x = 4,920.77 × 1,618.16
  4. Step 4: Simplify right side
    3,282.88x = 7,962,593.18
  5. Step 5: Solve for x
    x = 7,962,593.18/3,282.88
  6. Step 6: Final answer
    x = 2,425.49

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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.