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Finding the Fourth Proportional to 2,150.91, 2,945.99 and 2,024.82

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Solution

The fourth proportional to 2,150.91, 2,945.99 and 2,024.82 is: 2,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.91 : 2,945.99 = 2,024.82 : x
  2. Step 2: Convert to fraction form
    2,150.91/2,945.99 = 2,024.82/x
  3. Step 3: Cross multiply
    2,150.91x = 2,945.99 × 2,024.82
  4. Step 4: Simplify right side
    2,150.91x = 5,965,099.47
  5. Step 5: Solve for x
    x = 5,965,099.47/2,150.91
  6. Step 6: Final answer
    x = 2,773.29

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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.