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Finding the Fourth Proportional to 2,078.44, 2,868.03 and 1,194.37

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Solution

The fourth proportional to 2,078.44, 2,868.03 and 1,194.37 is: 1,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.44 : 2,868.03 = 1,194.37 : x
  2. Step 2: Convert to fraction form
    2,078.44/2,868.03 = 1,194.37/x
  3. Step 3: Cross multiply
    2,078.44x = 2,868.03 × 1,194.37
  4. Step 4: Simplify right side
    2,078.44x = 3,425,481.82
  5. Step 5: Solve for x
    x = 3,425,481.82/2,078.44
  6. Step 6: Final answer
    x = 1,648.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.