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Finding the Fourth Proportional to 1,834.50, 2,751.78 and 1,467.60

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Solution

The fourth proportional to 1,834.50, 2,751.78 and 1,467.60 is: 2,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.50 : 2,751.78 = 1,467.60 : x
  2. Step 2: Convert to fraction form
    1,834.50/2,751.78 = 1,467.60/x
  3. Step 3: Cross multiply
    1,834.50x = 2,751.78 × 1,467.60
  4. Step 4: Simplify right side
    1,834.50x = 4,038,512.33
  5. Step 5: Solve for x
    x = 4,038,512.33/1,834.50
  6. Step 6: Final answer
    x = 2,201.42

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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.