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Finding the Fourth Proportional to 2,268.41, 3,400.13 and 881.33

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Solution

The fourth proportional to 2,268.41, 3,400.13 and 881.33 is: 1,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.41 : 3,400.13 = 881.33 : x
  2. Step 2: Convert to fraction form
    2,268.41/3,400.13 = 881.33/x
  3. Step 3: Cross multiply
    2,268.41x = 3,400.13 × 881.33
  4. Step 4: Simplify right side
    2,268.41x = 2,996,621.78
  5. Step 5: Solve for x
    x = 2,996,621.78/2,268.41
  6. Step 6: Final answer
    x = 1,321.03

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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.