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Finding the Fourth Proportional to 3,286.18, 4,930.13 and 977.62

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Solution

The fourth proportional to 3,286.18, 4,930.13 and 977.62 is: 1,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.18 : 4,930.13 = 977.62 : x
  2. Step 2: Convert to fraction form
    3,286.18/4,930.13 = 977.62/x
  3. Step 3: Cross multiply
    3,286.18x = 4,930.13 × 977.62
  4. Step 4: Simplify right side
    3,286.18x = 4,819,793.69
  5. Step 5: Solve for x
    x = 4,819,793.69/3,286.18
  6. Step 6: Final answer
    x = 1,466.69

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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.