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Finding the Fourth Proportional to 2,208.64, 3,310.62 and 821.08

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Solution

The fourth proportional to 2,208.64, 3,310.62 and 821.08 is: 1,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.64 : 3,310.62 = 821.08 : x
  2. Step 2: Convert to fraction form
    2,208.64/3,310.62 = 821.08/x
  3. Step 3: Cross multiply
    2,208.64x = 3,310.62 × 821.08
  4. Step 4: Simplify right side
    2,208.64x = 2,718,283.87
  5. Step 5: Solve for x
    x = 2,718,283.87/2,208.64
  6. Step 6: Final answer
    x = 1,230.75

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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.