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Finding the Fourth Proportional to 2,268.54, 3,401.34 and 952.92

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Solution

The fourth proportional to 2,268.54, 3,401.34 and 952.92 is: 1,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.54 : 3,401.34 = 952.92 : x
  2. Step 2: Convert to fraction form
    2,268.54/3,401.34 = 952.92/x
  3. Step 3: Cross multiply
    2,268.54x = 3,401.34 × 952.92
  4. Step 4: Simplify right side
    2,268.54x = 3,241,204.91
  5. Step 5: Solve for x
    x = 3,241,204.91/2,268.54
  6. Step 6: Final answer
    x = 1,428.76

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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.