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Finding the Fourth Proportional to 2,149.91, 2,967.49 and 1,266.23

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Solution

The fourth proportional to 2,149.91, 2,967.49 and 1,266.23 is: 1,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.91 : 2,967.49 = 1,266.23 : x
  2. Step 2: Convert to fraction form
    2,149.91/2,967.49 = 1,266.23/x
  3. Step 3: Cross multiply
    2,149.91x = 2,967.49 × 1,266.23
  4. Step 4: Simplify right side
    2,149.91x = 3,757,510.03
  5. Step 5: Solve for x
    x = 3,757,510.03/2,149.91
  6. Step 6: Final answer
    x = 1,747.75

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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.