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Finding the Fourth Proportional to 2,808.91, 4,213.78 and 908.59

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Solution

The fourth proportional to 2,808.91, 4,213.78 and 908.59 is: 1,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.91 : 4,213.78 = 908.59 : x
  2. Step 2: Convert to fraction form
    2,808.91/4,213.78 = 908.59/x
  3. Step 3: Cross multiply
    2,808.91x = 4,213.78 × 908.59
  4. Step 4: Simplify right side
    2,808.91x = 3,828,593.83
  5. Step 5: Solve for x
    x = 3,828,593.83/2,808.91
  6. Step 6: Final answer
    x = 1,363.02

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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.