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Finding the Fourth Proportional to 3,204.28, 4,806.68 and 895.76

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Solution

The fourth proportional to 3,204.28, 4,806.68 and 895.76 is: 1,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.28 : 4,806.68 = 895.76 : x
  2. Step 2: Convert to fraction form
    3,204.28/4,806.68 = 895.76/x
  3. Step 3: Cross multiply
    3,204.28x = 4,806.68 × 895.76
  4. Step 4: Simplify right side
    3,204.28x = 4,305,631.68
  5. Step 5: Solve for x
    x = 4,305,631.68/3,204.28
  6. Step 6: Final answer
    x = 1,343.71

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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.