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Finding the Fourth Proportional to 2,635, 3,636.62 and 1,531

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Solution

The fourth proportional to 2,635, 3,636.62 and 1,531 is: 2,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635 : 3,636.62 = 1,531 : x
  2. Step 2: Convert to fraction form
    2,635/3,636.62 = 1,531/x
  3. Step 3: Cross multiply
    2,635x = 3,636.62 × 1,531
  4. Step 4: Simplify right side
    2,635x = 5,567,665.22
  5. Step 5: Solve for x
    x = 5,567,665.22/2,635
  6. Step 6: Final answer
    x = 2,112.97

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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.