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Finding the Fourth Proportional to 2,286.78, 3,431.08 and 1,350.47

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Solution

The fourth proportional to 2,286.78, 3,431.08 and 1,350.47 is: 2,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.78 : 3,431.08 = 1,350.47 : x
  2. Step 2: Convert to fraction form
    2,286.78/3,431.08 = 1,350.47/x
  3. Step 3: Cross multiply
    2,286.78x = 3,431.08 × 1,350.47
  4. Step 4: Simplify right side
    2,286.78x = 4,633,584.67
  5. Step 5: Solve for x
    x = 4,633,584.67/2,286.78
  6. Step 6: Final answer
    x = 2,026.25

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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.