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Finding the Fourth Proportional to 2,974.46, 4,458.65 and 2,150.69

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Solution

The fourth proportional to 2,974.46, 4,458.65 and 2,150.69 is: 3,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.46 : 4,458.65 = 2,150.69 : x
  2. Step 2: Convert to fraction form
    2,974.46/4,458.65 = 2,150.69/x
  3. Step 3: Cross multiply
    2,974.46x = 4,458.65 × 2,150.69
  4. Step 4: Simplify right side
    2,974.46x = 9,589,140.92
  5. Step 5: Solve for x
    x = 9,589,140.92/2,974.46
  6. Step 6: Final answer
    x = 3,223.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.