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Finding the Fourth Proportional to 2,264.97, 3,396.57 and 912.15

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Solution

The fourth proportional to 2,264.97, 3,396.57 and 912.15 is: 1,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.97 : 3,396.57 = 912.15 : x
  2. Step 2: Convert to fraction form
    2,264.97/3,396.57 = 912.15/x
  3. Step 3: Cross multiply
    2,264.97x = 3,396.57 × 912.15
  4. Step 4: Simplify right side
    2,264.97x = 3,098,181.33
  5. Step 5: Solve for x
    x = 3,098,181.33/2,264.97
  6. Step 6: Final answer
    x = 1,367.87

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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.