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Finding the Fourth Proportional to 2,611.60, 3,917.50 and 663.75

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Solution

The fourth proportional to 2,611.60, 3,917.50 and 663.75 is: 995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.60 : 3,917.50 = 663.75 : x
  2. Step 2: Convert to fraction form
    2,611.60/3,917.50 = 663.75/x
  3. Step 3: Cross multiply
    2,611.60x = 3,917.50 × 663.75
  4. Step 4: Simplify right side
    2,611.60x = 2,600,238.97
  5. Step 5: Solve for x
    x = 2,600,238.97/2,611.60
  6. Step 6: Final answer
    x = 995.65

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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.