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Finding the Fourth Proportional to 1,834.36, 2,749.88 and 664.09

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Solution

The fourth proportional to 1,834.36, 2,749.88 and 664.09 is: 995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.36 : 2,749.88 = 664.09 : x
  2. Step 2: Convert to fraction form
    1,834.36/2,749.88 = 664.09/x
  3. Step 3: Cross multiply
    1,834.36x = 2,749.88 × 664.09
  4. Step 4: Simplify right side
    1,834.36x = 1,826,164.49
  5. Step 5: Solve for x
    x = 1,826,164.49/1,834.36
  6. Step 6: Final answer
    x = 995.53

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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.