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Finding the Fourth Proportional to 2,067.69, 3,102.02 and 1,143.03

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Solution

The fourth proportional to 2,067.69, 3,102.02 and 1,143.03 is: 1,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.69 : 3,102.02 = 1,143.03 : x
  2. Step 2: Convert to fraction form
    2,067.69/3,102.02 = 1,143.03/x
  3. Step 3: Cross multiply
    2,067.69x = 3,102.02 × 1,143.03
  4. Step 4: Simplify right side
    2,067.69x = 3,545,696.21
  5. Step 5: Solve for x
    x = 3,545,696.21/2,067.69
  6. Step 6: Final answer
    x = 1,714.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.