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Finding the Fourth Proportional to 2,086.39, 2,879.46 and 1,202.17

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Solution

The fourth proportional to 2,086.39, 2,879.46 and 1,202.17 is: 1,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.39 : 2,879.46 = 1,202.17 : x
  2. Step 2: Convert to fraction form
    2,086.39/2,879.46 = 1,202.17/x
  3. Step 3: Cross multiply
    2,086.39x = 2,879.46 × 1,202.17
  4. Step 4: Simplify right side
    2,086.39x = 3,461,600.43
  5. Step 5: Solve for x
    x = 3,461,600.43/2,086.39
  6. Step 6: Final answer
    x = 1,659.13

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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.