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Finding the Fourth Proportional to 2,149.91, 2,944.62 and 2,023.82

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Solution

The fourth proportional to 2,149.91, 2,944.62 and 2,023.82 is: 2,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.91 : 2,944.62 = 2,023.82 : x
  2. Step 2: Convert to fraction form
    2,149.91/2,944.62 = 2,023.82/x
  3. Step 3: Cross multiply
    2,149.91x = 2,944.62 × 2,023.82
  4. Step 4: Simplify right side
    2,149.91x = 5,959,366.13
  5. Step 5: Solve for x
    x = 5,959,366.13/2,149.91
  6. Step 6: Final answer
    x = 2,771.92

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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.