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Finding the Fourth Proportional to 2,286.26, 3,419.59 and 2,120.26

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Solution

The fourth proportional to 2,286.26, 3,419.59 and 2,120.26 is: 3,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.26 : 3,419.59 = 2,120.26 : x
  2. Step 2: Convert to fraction form
    2,286.26/3,419.59 = 2,120.26/x
  3. Step 3: Cross multiply
    2,286.26x = 3,419.59 × 2,120.26
  4. Step 4: Simplify right side
    2,286.26x = 7,250,419.89
  5. Step 5: Solve for x
    x = 7,250,419.89/2,286.26
  6. Step 6: Final answer
    x = 3,171.30

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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.