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Finding the Fourth Proportional to 1,902.72, 2,852.14 and 1,286.49

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Solution

The fourth proportional to 1,902.72, 2,852.14 and 1,286.49 is: 1,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.72 : 2,852.14 = 1,286.49 : x
  2. Step 2: Convert to fraction form
    1,902.72/2,852.14 = 1,286.49/x
  3. Step 3: Cross multiply
    1,902.72x = 2,852.14 × 1,286.49
  4. Step 4: Simplify right side
    1,902.72x = 3,669,249.59
  5. Step 5: Solve for x
    x = 3,669,249.59/1,902.72
  6. Step 6: Final answer
    x = 1,928.42

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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.