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Finding the Fourth Proportional to 2,086.54, 2,879.49 and 1,202.38

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Solution

The fourth proportional to 2,086.54, 2,879.49 and 1,202.38 is: 1,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.54 : 2,879.49 = 1,202.38 : x
  2. Step 2: Convert to fraction form
    2,086.54/2,879.49 = 1,202.38/x
  3. Step 3: Cross multiply
    2,086.54x = 2,879.49 × 1,202.38
  4. Step 4: Simplify right side
    2,086.54x = 3,462,241.19
  5. Step 5: Solve for x
    x = 3,462,241.19/2,086.54
  6. Step 6: Final answer
    x = 1,659.32

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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.