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Finding the Fourth Proportional to 2,625.42, 3,940.56 and 1,327.80

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Solution

The fourth proportional to 2,625.42, 3,940.56 and 1,327.80 is: 1,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.42 : 3,940.56 = 1,327.80 : x
  2. Step 2: Convert to fraction form
    2,625.42/3,940.56 = 1,327.80/x
  3. Step 3: Cross multiply
    2,625.42x = 3,940.56 × 1,327.80
  4. Step 4: Simplify right side
    2,625.42x = 5,232,255.87
  5. Step 5: Solve for x
    x = 5,232,255.87/2,625.42
  6. Step 6: Final answer
    x = 1,992.93

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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.