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Finding the Fourth Proportional to 2,611.88, 3,917.51 and 664.10

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Solution

The fourth proportional to 2,611.88, 3,917.51 and 664.10 is: 996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.88 : 3,917.51 = 664.10 : x
  2. Step 2: Convert to fraction form
    2,611.88/3,917.51 = 664.10/x
  3. Step 3: Cross multiply
    2,611.88x = 3,917.51 × 664.10
  4. Step 4: Simplify right side
    2,611.88x = 2,601,595.48
  5. Step 5: Solve for x
    x = 2,601,595.48/2,611.88
  6. Step 6: Final answer
    x = 996.06

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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.