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Finding the Fourth Proportional to 2,268.41, 3,400.77 and 881.03

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Solution

The fourth proportional to 2,268.41, 3,400.77 and 881.03 is: 1,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.41 : 3,400.77 = 881.03 : x
  2. Step 2: Convert to fraction form
    2,268.41/3,400.77 = 881.03/x
  3. Step 3: Cross multiply
    2,268.41x = 3,400.77 × 881.03
  4. Step 4: Simplify right side
    2,268.41x = 2,996,180.39
  5. Step 5: Solve for x
    x = 2,996,180.39/2,268.41
  6. Step 6: Final answer
    x = 1,320.83

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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.