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Finding the Fourth Proportional to 2,007.17, 2,767.39 and 1,297.81

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Solution

The fourth proportional to 2,007.17, 2,767.39 and 1,297.81 is: 1,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.17 : 2,767.39 = 1,297.81 : x
  2. Step 2: Convert to fraction form
    2,007.17/2,767.39 = 1,297.81/x
  3. Step 3: Cross multiply
    2,007.17x = 2,767.39 × 1,297.81
  4. Step 4: Simplify right side
    2,007.17x = 3,591,546.42
  5. Step 5: Solve for x
    x = 3,591,546.42/2,007.17
  6. Step 6: Final answer
    x = 1,789.36

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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.