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Finding the Fourth Proportional to 2,168.29, 3,249.15 and 1,435.24

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Solution

The fourth proportional to 2,168.29, 3,249.15 and 1,435.24 is: 2,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.29 : 3,249.15 = 1,435.24 : x
  2. Step 2: Convert to fraction form
    2,168.29/3,249.15 = 1,435.24/x
  3. Step 3: Cross multiply
    2,168.29x = 3,249.15 × 1,435.24
  4. Step 4: Simplify right side
    2,168.29x = 4,663,310.05
  5. Step 5: Solve for x
    x = 4,663,310.05/2,168.29
  6. Step 6: Final answer
    x = 2,150.69

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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.