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Finding the Fourth Proportional to 2,141.55, 3,212.01 and 908.73

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Solution

The fourth proportional to 2,141.55, 3,212.01 and 908.73 is: 1,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.55 : 3,212.01 = 908.73 : x
  2. Step 2: Convert to fraction form
    2,141.55/3,212.01 = 908.73/x
  3. Step 3: Cross multiply
    2,141.55x = 3,212.01 × 908.73
  4. Step 4: Simplify right side
    2,141.55x = 2,918,849.85
  5. Step 5: Solve for x
    x = 2,918,849.85/2,141.55
  6. Step 6: Final answer
    x = 1,362.96

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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.