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Finding the Fourth Proportional to 2,627.97, 3,941.41 and 984.48

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Solution

The fourth proportional to 2,627.97, 3,941.41 and 984.48 is: 1,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.97 : 3,941.41 = 984.48 : x
  2. Step 2: Convert to fraction form
    2,627.97/3,941.41 = 984.48/x
  3. Step 3: Cross multiply
    2,627.97x = 3,941.41 × 984.48
  4. Step 4: Simplify right side
    2,627.97x = 3,880,239.32
  5. Step 5: Solve for x
    x = 3,880,239.32/2,627.97
  6. Step 6: Final answer
    x = 1,476.52

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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.