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Finding the Fourth Proportional to 2,635.38, 3,637.17 and 1,640.70

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Solution

The fourth proportional to 2,635.38, 3,637.17 and 1,640.70 is: 2,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.38 : 3,637.17 = 1,640.70 : x
  2. Step 2: Convert to fraction form
    2,635.38/3,637.17 = 1,640.70/x
  3. Step 3: Cross multiply
    2,635.38x = 3,637.17 × 1,640.70
  4. Step 4: Simplify right side
    2,635.38x = 5,967,504.82
  5. Step 5: Solve for x
    x = 5,967,504.82/2,635.38
  6. Step 6: Final answer
    x = 2,264.38

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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.