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Finding the Fourth Proportional to 2,636.57, 3,639.66 and 1,693.73

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Solution

The fourth proportional to 2,636.57, 3,639.66 and 1,693.73 is: 2,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.57 : 3,639.66 = 1,693.73 : x
  2. Step 2: Convert to fraction form
    2,636.57/3,639.66 = 1,693.73/x
  3. Step 3: Cross multiply
    2,636.57x = 3,639.66 × 1,693.73
  4. Step 4: Simplify right side
    2,636.57x = 6,164,601.33
  5. Step 5: Solve for x
    x = 6,164,601.33/2,636.57
  6. Step 6: Final answer
    x = 2,338.11

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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.