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Finding the Fourth Proportional to 1,834.36, 2,751.54 and 664.54

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Solution

The fourth proportional to 1,834.36, 2,751.54 and 664.54 is: 996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.36 : 2,751.54 = 664.54 : x
  2. Step 2: Convert to fraction form
    1,834.36/2,751.54 = 664.54/x
  3. Step 3: Cross multiply
    1,834.36x = 2,751.54 × 664.54
  4. Step 4: Simplify right side
    1,834.36x = 1,828,508.39
  5. Step 5: Solve for x
    x = 1,828,508.39/1,834.36
  6. Step 6: Final answer
    x = 996.81

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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.