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Finding the Fourth Proportional to 3,286.26, 4,929.12 and 977.76

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Solution

The fourth proportional to 3,286.26, 4,929.12 and 977.76 is: 1,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.26 : 4,929.12 = 977.76 : x
  2. Step 2: Convert to fraction form
    3,286.26/4,929.12 = 977.76/x
  3. Step 3: Cross multiply
    3,286.26x = 4,929.12 × 977.76
  4. Step 4: Simplify right side
    3,286.26x = 4,819,496.37
  5. Step 5: Solve for x
    x = 4,819,496.37/3,286.26
  6. Step 6: Final answer
    x = 1,466.56

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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.