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Finding the Fourth Proportional to 2,268.15, 3,401.35 and 881.31

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Solution

The fourth proportional to 2,268.15, 3,401.35 and 881.31 is: 1,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.15 : 3,401.35 = 881.31 : x
  2. Step 2: Convert to fraction form
    2,268.15/3,401.35 = 881.31/x
  3. Step 3: Cross multiply
    2,268.15x = 3,401.35 × 881.31
  4. Step 4: Simplify right side
    2,268.15x = 2,997,633.22
  5. Step 5: Solve for x
    x = 2,997,633.22/2,268.15
  6. Step 6: Final answer
    x = 1,321.62

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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.