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Finding the Fourth Proportional to 2,611.44, 3,917.67 and 762.57

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Solution

The fourth proportional to 2,611.44, 3,917.67 and 762.57 is: 1,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.44 : 3,917.67 = 762.57 : x
  2. Step 2: Convert to fraction form
    2,611.44/3,917.67 = 762.57/x
  3. Step 3: Cross multiply
    2,611.44x = 3,917.67 × 762.57
  4. Step 4: Simplify right side
    2,611.44x = 2,987,497.61
  5. Step 5: Solve for x
    x = 2,987,497.61/2,611.44
  6. Step 6: Final answer
    x = 1,144.00

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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.