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Finding the Fourth Proportional to 2,613.74, 3,939.39 and 2,252.88

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Solution

The fourth proportional to 2,613.74, 3,939.39 and 2,252.88 is: 3,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.74 : 3,939.39 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    2,613.74/3,939.39 = 2,252.88/x
  3. Step 3: Cross multiply
    2,613.74x = 3,939.39 × 2,252.88
  4. Step 4: Simplify right side
    2,613.74x = 8,874,972.94
  5. Step 5: Solve for x
    x = 8,874,972.94/2,613.74
  6. Step 6: Final answer
    x = 3,395.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.