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Finding the Fourth Proportional to 2,361.26, 3,541.54 and 801.24

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Solution

The fourth proportional to 2,361.26, 3,541.54 and 801.24 is: 1,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.26 : 3,541.54 = 801.24 : x
  2. Step 2: Convert to fraction form
    2,361.26/3,541.54 = 801.24/x
  3. Step 3: Cross multiply
    2,361.26x = 3,541.54 × 801.24
  4. Step 4: Simplify right side
    2,361.26x = 2,837,623.51
  5. Step 5: Solve for x
    x = 2,837,623.51/2,361.26
  6. Step 6: Final answer
    x = 1,201.74

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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.