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Finding the Fourth Proportional to 2,908.96, 4,363.78 and 961.18

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Solution

The fourth proportional to 2,908.96, 4,363.78 and 961.18 is: 1,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.96 : 4,363.78 = 961.18 : x
  2. Step 2: Convert to fraction form
    2,908.96/4,363.78 = 961.18/x
  3. Step 3: Cross multiply
    2,908.96x = 4,363.78 × 961.18
  4. Step 4: Simplify right side
    2,908.96x = 4,194,378.06
  5. Step 5: Solve for x
    x = 4,194,378.06/2,908.96
  6. Step 6: Final answer
    x = 1,441.88

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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.