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Finding the Fourth Proportional to 2,611.48, 3,917.22 and 663.68

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Solution

The fourth proportional to 2,611.48, 3,917.22 and 663.68 is: 995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.48 : 3,917.22 = 663.68 : x
  2. Step 2: Convert to fraction form
    2,611.48/3,917.22 = 663.68/x
  3. Step 3: Cross multiply
    2,611.48x = 3,917.22 × 663.68
  4. Step 4: Simplify right side
    2,611.48x = 2,599,780.57
  5. Step 5: Solve for x
    x = 2,599,780.57/2,611.48
  6. Step 6: Final answer
    x = 995.52

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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.