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Finding the Fourth Proportional to 2,147.26, 2,963.04 and 1,990.54

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Solution

The fourth proportional to 2,147.26, 2,963.04 and 1,990.54 is: 2,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.26 : 2,963.04 = 1,990.54 : x
  2. Step 2: Convert to fraction form
    2,147.26/2,963.04 = 1,990.54/x
  3. Step 3: Cross multiply
    2,147.26x = 2,963.04 × 1,990.54
  4. Step 4: Simplify right side
    2,147.26x = 5,898,049.64
  5. Step 5: Solve for x
    x = 5,898,049.64/2,147.26
  6. Step 6: Final answer
    x = 2,746.78

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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.