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Finding the Fourth Proportional to 2,141.78, 3,212.69 and 908.42

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Solution

The fourth proportional to 2,141.78, 3,212.69 and 908.42 is: 1,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.78 : 3,212.69 = 908.42 : x
  2. Step 2: Convert to fraction form
    2,141.78/3,212.69 = 908.42/x
  3. Step 3: Cross multiply
    2,141.78x = 3,212.69 × 908.42
  4. Step 4: Simplify right side
    2,141.78x = 2,918,451.24
  5. Step 5: Solve for x
    x = 2,918,451.24/2,141.78
  6. Step 6: Final answer
    x = 1,362.63

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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.