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Finding the Fourth Proportional to 2,733, 4,100.04 and 1,194

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Solution

The fourth proportional to 2,733, 4,100.04 and 1,194 is: 1,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733 : 4,100.04 = 1,194 : x
  2. Step 2: Convert to fraction form
    2,733/4,100.04 = 1,194/x
  3. Step 3: Cross multiply
    2,733x = 4,100.04 × 1,194
  4. Step 4: Simplify right side
    2,733x = 4,895,447.76
  5. Step 5: Solve for x
    x = 4,895,447.76/2,733
  6. Step 6: Final answer
    x = 1,791.24

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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.