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Finding the Fourth Proportional to 3,204.18, 4,806.27 and 895.62

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Solution

The fourth proportional to 3,204.18, 4,806.27 and 895.62 is: 1,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.18 : 4,806.27 = 895.62 : x
  2. Step 2: Convert to fraction form
    3,204.18/4,806.27 = 895.62/x
  3. Step 3: Cross multiply
    3,204.18x = 4,806.27 × 895.62
  4. Step 4: Simplify right side
    3,204.18x = 4,304,591.54
  5. Step 5: Solve for x
    x = 4,304,591.54/3,204.18
  6. Step 6: Final answer
    x = 1,343.43

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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.