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Finding the Fourth Proportional to 2,504.33, 3,755.81 and 943.33

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Solution

The fourth proportional to 2,504.33, 3,755.81 and 943.33 is: 1,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.33 : 3,755.81 = 943.33 : x
  2. Step 2: Convert to fraction form
    2,504.33/3,755.81 = 943.33/x
  3. Step 3: Cross multiply
    2,504.33x = 3,755.81 × 943.33
  4. Step 4: Simplify right side
    2,504.33x = 3,542,968.25
  5. Step 5: Solve for x
    x = 3,542,968.25/2,504.33
  6. Step 6: Final answer
    x = 1,414.74

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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.