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Finding the Fourth Proportional to 2,446.81, 3,650.84 and 2,213.53

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Solution

The fourth proportional to 2,446.81, 3,650.84 and 2,213.53 is: 3,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.81 : 3,650.84 = 2,213.53 : x
  2. Step 2: Convert to fraction form
    2,446.81/3,650.84 = 2,213.53/x
  3. Step 3: Cross multiply
    2,446.81x = 3,650.84 × 2,213.53
  4. Step 4: Simplify right side
    2,446.81x = 8,081,231.97
  5. Step 5: Solve for x
    x = 8,081,231.97/2,446.81
  6. Step 6: Final answer
    x = 3,302.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.