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Finding the Fourth Proportional to 2,446.72, 3,670.16 and 908.80

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Solution

The fourth proportional to 2,446.72, 3,670.16 and 908.80 is: 1,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.72 : 3,670.16 = 908.80 : x
  2. Step 2: Convert to fraction form
    2,446.72/3,670.16 = 908.80/x
  3. Step 3: Cross multiply
    2,446.72x = 3,670.16 × 908.80
  4. Step 4: Simplify right side
    2,446.72x = 3,335,441.41
  5. Step 5: Solve for x
    x = 3,335,441.41/2,446.72
  6. Step 6: Final answer
    x = 1,363.23

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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.