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Finding the Fourth Proportional to 2,435.70, 3,634.42 and 2,286.92

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Solution

The fourth proportional to 2,435.70, 3,634.42 and 2,286.92 is: 3,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.70 : 3,634.42 = 2,286.92 : x
  2. Step 2: Convert to fraction form
    2,435.70/3,634.42 = 2,286.92/x
  3. Step 3: Cross multiply
    2,435.70x = 3,634.42 × 2,286.92
  4. Step 4: Simplify right side
    2,435.70x = 8,311,645.45
  5. Step 5: Solve for x
    x = 8,311,645.45/2,435.70
  6. Step 6: Final answer
    x = 3,412.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.