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Finding the Fourth Proportional to 3,469.14, 4,787.24 and 1,896.93

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Solution

The fourth proportional to 3,469.14, 4,787.24 and 1,896.93 is: 2,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.14 : 4,787.24 = 1,896.93 : x
  2. Step 2: Convert to fraction form
    3,469.14/4,787.24 = 1,896.93/x
  3. Step 3: Cross multiply
    3,469.14x = 4,787.24 × 1,896.93
  4. Step 4: Simplify right side
    3,469.14x = 9,081,049.69
  5. Step 5: Solve for x
    x = 9,081,049.69/3,469.14
  6. Step 6: Final answer
    x = 2,617.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.