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Finding the Fourth Proportional to 2,361.43, 3,541.37 and 801.03

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Solution

The fourth proportional to 2,361.43, 3,541.37 and 801.03 is: 1,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.43 : 3,541.37 = 801.03 : x
  2. Step 2: Convert to fraction form
    2,361.43/3,541.37 = 801.03/x
  3. Step 3: Cross multiply
    2,361.43x = 3,541.37 × 801.03
  4. Step 4: Simplify right side
    2,361.43x = 2,836,743.61
  5. Step 5: Solve for x
    x = 2,836,743.61/2,361.43
  6. Step 6: Final answer
    x = 1,201.28

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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.