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Finding the Fourth Proportional to 2,611.77, 3,917.64 and 663.97

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Solution

The fourth proportional to 2,611.77, 3,917.64 and 663.97 is: 995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.77 : 3,917.64 = 663.97 : x
  2. Step 2: Convert to fraction form
    2,611.77/3,917.64 = 663.97/x
  3. Step 3: Cross multiply
    2,611.77x = 3,917.64 × 663.97
  4. Step 4: Simplify right side
    2,611.77x = 2,601,195.43
  5. Step 5: Solve for x
    x = 2,601,195.43/2,611.77
  6. Step 6: Final answer
    x = 995.95

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1.5x scale

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.