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Finding the Fourth Proportional to 2,383.36, 3,286.84 and 1,636

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Solution

The fourth proportional to 2,383.36, 3,286.84 and 1,636 is: 2,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.36 : 3,286.84 = 1,636 : x
  2. Step 2: Convert to fraction form
    2,383.36/3,286.84 = 1,636/x
  3. Step 3: Cross multiply
    2,383.36x = 3,286.84 × 1,636
  4. Step 4: Simplify right side
    2,383.36x = 5,377,270.24
  5. Step 5: Solve for x
    x = 5,377,270.24/2,383.36
  6. Step 6: Final answer
    x = 2,256.17

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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.