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Finding the Fourth Proportional to 2,733, 4,099.86 and 1,194.36

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Solution

The fourth proportional to 2,733, 4,099.86 and 1,194.36 is: 1,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733 : 4,099.86 = 1,194.36 : x
  2. Step 2: Convert to fraction form
    2,733/4,099.86 = 1,194.36/x
  3. Step 3: Cross multiply
    2,733x = 4,099.86 × 1,194.36
  4. Step 4: Simplify right side
    2,733x = 4,896,708.79
  5. Step 5: Solve for x
    x = 4,896,708.79/2,733
  6. Step 6: Final answer
    x = 1,791.70

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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.