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Finding the Fourth Proportional to 2,163.27, 2,984.07 and 1,498.97

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Solution

The fourth proportional to 2,163.27, 2,984.07 and 1,498.97 is: 2,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.27 : 2,984.07 = 1,498.97 : x
  2. Step 2: Convert to fraction form
    2,163.27/2,984.07 = 1,498.97/x
  3. Step 3: Cross multiply
    2,163.27x = 2,984.07 × 1,498.97
  4. Step 4: Simplify right side
    2,163.27x = 4,473,044.49
  5. Step 5: Solve for x
    x = 4,473,044.49/2,163.27
  6. Step 6: Final answer
    x = 2,067.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.