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Finding the Fourth Proportional to 2,627.31, 3,940.97 and 983.82

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Solution

The fourth proportional to 2,627.31, 3,940.97 and 983.82 is: 1,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.31 : 3,940.97 = 983.82 : x
  2. Step 2: Convert to fraction form
    2,627.31/3,940.97 = 983.82/x
  3. Step 3: Cross multiply
    2,627.31x = 3,940.97 × 983.82
  4. Step 4: Simplify right side
    2,627.31x = 3,877,180.48
  5. Step 5: Solve for x
    x = 3,877,180.48/2,627.31
  6. Step 6: Final answer
    x = 1,475.73

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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.