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Finding the Fourth Proportional to 1,908.08, 2,861.88 and 609.56

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Solution

The fourth proportional to 1,908.08, 2,861.88 and 609.56 is: 914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.08 : 2,861.88 = 609.56 : x
  2. Step 2: Convert to fraction form
    1,908.08/2,861.88 = 609.56/x
  3. Step 3: Cross multiply
    1,908.08x = 2,861.88 × 609.56
  4. Step 4: Simplify right side
    1,908.08x = 1,744,487.57
  5. Step 5: Solve for x
    x = 1,744,487.57/1,908.08
  6. Step 6: Final answer
    x = 914.26

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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.