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Finding the Fourth Proportional to 2,494.66, 3,440.42 and 2,049.96

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Solution

The fourth proportional to 2,494.66, 3,440.42 and 2,049.96 is: 2,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.66 : 3,440.42 = 2,049.96 : x
  2. Step 2: Convert to fraction form
    2,494.66/3,440.42 = 2,049.96/x
  3. Step 3: Cross multiply
    2,494.66x = 3,440.42 × 2,049.96
  4. Step 4: Simplify right side
    2,494.66x = 7,052,723.38
  5. Step 5: Solve for x
    x = 7,052,723.38/2,494.66
  6. Step 6: Final answer
    x = 2,827.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.