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Finding the Fourth Proportional to 2,094.80, 3,144.60 and 1,229.60

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Solution

The fourth proportional to 2,094.80, 3,144.60 and 1,229.60 is: 1,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.80 : 3,144.60 = 1,229.60 : x
  2. Step 2: Convert to fraction form
    2,094.80/3,144.60 = 1,229.60/x
  3. Step 3: Cross multiply
    2,094.80x = 3,144.60 × 1,229.60
  4. Step 4: Simplify right side
    2,094.80x = 3,866,600.16
  5. Step 5: Solve for x
    x = 3,866,600.16/2,094.80
  6. Step 6: Final answer
    x = 1,845.81

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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.