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Finding the Fourth Proportional to 2,949, 4,074.09 and 2,201.66

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Solution

The fourth proportional to 2,949, 4,074.09 and 2,201.66 is: 3,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949 : 4,074.09 = 2,201.66 : x
  2. Step 2: Convert to fraction form
    2,949/4,074.09 = 2,201.66/x
  3. Step 3: Cross multiply
    2,949x = 4,074.09 × 2,201.66
  4. Step 4: Simplify right side
    2,949x = 8,969,760.99
  5. Step 5: Solve for x
    x = 8,969,760.99/2,949
  6. Step 6: Final answer
    x = 3,041.63

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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.