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Finding the Fourth Proportional to 2,997.27, 4,114.23 and 2,658.29

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Solution

The fourth proportional to 2,997.27, 4,114.23 and 2,658.29 is: 3,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.27 : 4,114.23 = 2,658.29 : x
  2. Step 2: Convert to fraction form
    2,997.27/4,114.23 = 2,658.29/x
  3. Step 3: Cross multiply
    2,997.27x = 4,114.23 × 2,658.29
  4. Step 4: Simplify right side
    2,997.27x = 10,936,785.93
  5. Step 5: Solve for x
    x = 10,936,785.93/2,997.27
  6. Step 6: Final answer
    x = 3,648.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.