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Finding the Fourth Proportional to 1,638.69, 2,451.87 and 908.79

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Solution

The fourth proportional to 1,638.69, 2,451.87 and 908.79 is: 1,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.69 : 2,451.87 = 908.79 : x
  2. Step 2: Convert to fraction form
    1,638.69/2,451.87 = 908.79/x
  3. Step 3: Cross multiply
    1,638.69x = 2,451.87 × 908.79
  4. Step 4: Simplify right side
    1,638.69x = 2,228,234.94
  5. Step 5: Solve for x
    x = 2,228,234.94/1,638.69
  6. Step 6: Final answer
    x = 1,359.77

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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.