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Finding the Fourth Proportional to 2,611.02, 3,917.46 and 1,150

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Solution

The fourth proportional to 2,611.02, 3,917.46 and 1,150 is: 1,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.02 : 3,917.46 = 1,150 : x
  2. Step 2: Convert to fraction form
    2,611.02/3,917.46 = 1,150/x
  3. Step 3: Cross multiply
    2,611.02x = 3,917.46 × 1,150
  4. Step 4: Simplify right side
    2,611.02x = 4,505,079
  5. Step 5: Solve for x
    x = 4,505,079/2,611.02
  6. Step 6: Final answer
    x = 1,725.41

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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.