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Finding the Fourth Proportional to 1,882.16, 2,824.20 and 896.09

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Solution

The fourth proportional to 1,882.16, 2,824.20 and 896.09 is: 1,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.16 : 2,824.20 = 896.09 : x
  2. Step 2: Convert to fraction form
    1,882.16/2,824.20 = 896.09/x
  3. Step 3: Cross multiply
    1,882.16x = 2,824.20 × 896.09
  4. Step 4: Simplify right side
    1,882.16x = 2,530,718.78
  5. Step 5: Solve for x
    x = 2,530,718.78/1,882.16
  6. Step 6: Final answer
    x = 1,344.59

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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.