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Finding the Fourth Proportional to 2,286.44, 3,429.58 and 969.35

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Solution

The fourth proportional to 2,286.44, 3,429.58 and 969.35 is: 1,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.44 : 3,429.58 = 969.35 : x
  2. Step 2: Convert to fraction form
    2,286.44/3,429.58 = 969.35/x
  3. Step 3: Cross multiply
    2,286.44x = 3,429.58 × 969.35
  4. Step 4: Simplify right side
    2,286.44x = 3,324,452.61
  5. Step 5: Solve for x
    x = 3,324,452.61/2,286.44
  6. Step 6: Final answer
    x = 1,453.99

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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.