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Finding the Fourth Proportional to 3,310.69, 4,967.76 and 1,336.80

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Solution

The fourth proportional to 3,310.69, 4,967.76 and 1,336.80 is: 2,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.69 : 4,967.76 = 1,336.80 : x
  2. Step 2: Convert to fraction form
    3,310.69/4,967.76 = 1,336.80/x
  3. Step 3: Cross multiply
    3,310.69x = 4,967.76 × 1,336.80
  4. Step 4: Simplify right side
    3,310.69x = 6,640,913.93
  5. Step 5: Solve for x
    x = 6,640,913.93/3,310.69
  6. Step 6: Final answer
    x = 2,005.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.