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Finding the Fourth Proportional to 1,834.27, 2,751.42 and 1,469.77

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Solution

The fourth proportional to 1,834.27, 2,751.42 and 1,469.77 is: 2,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.27 : 2,751.42 = 1,469.77 : x
  2. Step 2: Convert to fraction form
    1,834.27/2,751.42 = 1,469.77/x
  3. Step 3: Cross multiply
    1,834.27x = 2,751.42 × 1,469.77
  4. Step 4: Simplify right side
    1,834.27x = 4,043,954.57
  5. Step 5: Solve for x
    x = 4,043,954.57/1,834.27
  6. Step 6: Final answer
    x = 2,204.67

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Why These Related Problems?

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