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Finding the Fourth Proportional to 2,795.78, 4,194.22 and 848

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Solution

The fourth proportional to 2,795.78, 4,194.22 and 848 is: 1,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.78 : 4,194.22 = 848 : x
  2. Step 2: Convert to fraction form
    2,795.78/4,194.22 = 848/x
  3. Step 3: Cross multiply
    2,795.78x = 4,194.22 × 848
  4. Step 4: Simplify right side
    2,795.78x = 3,556,698.56
  5. Step 5: Solve for x
    x = 3,556,698.56/2,795.78
  6. Step 6: Final answer
    x = 1,272.17

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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.