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Finding the Fourth Proportional to 2,107.37, 3,161.09 and 951.77

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Solution

The fourth proportional to 2,107.37, 3,161.09 and 951.77 is: 1,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.37 : 3,161.09 = 951.77 : x
  2. Step 2: Convert to fraction form
    2,107.37/3,161.09 = 951.77/x
  3. Step 3: Cross multiply
    2,107.37x = 3,161.09 × 951.77
  4. Step 4: Simplify right side
    2,107.37x = 3,008,640.91
  5. Step 5: Solve for x
    x = 3,008,640.91/2,107.37
  6. Step 6: Final answer
    x = 1,427.67

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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.