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Finding the Fourth Proportional to 3,310.33, 4,964.88 and 969.82

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Solution

The fourth proportional to 3,310.33, 4,964.88 and 969.82 is: 1,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.33 : 4,964.88 = 969.82 : x
  2. Step 2: Convert to fraction form
    3,310.33/4,964.88 = 969.82/x
  3. Step 3: Cross multiply
    3,310.33x = 4,964.88 × 969.82
  4. Step 4: Simplify right side
    3,310.33x = 4,815,039.92
  5. Step 5: Solve for x
    x = 4,815,039.92/3,310.33
  6. Step 6: Final answer
    x = 1,454.55

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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.