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Finding the Fourth Proportional to 1,834.24, 2,751.86 and 664.38

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Solution

The fourth proportional to 1,834.24, 2,751.86 and 664.38 is: 996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.24 : 2,751.86 = 664.38 : x
  2. Step 2: Convert to fraction form
    1,834.24/2,751.86 = 664.38/x
  3. Step 3: Cross multiply
    1,834.24x = 2,751.86 × 664.38
  4. Step 4: Simplify right side
    1,834.24x = 1,828,280.75
  5. Step 5: Solve for x
    x = 1,828,280.75/1,834.24
  6. Step 6: Final answer
    x = 996.75

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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.