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Finding the Fourth Proportional to 2,086.35, 2,879.16 and 1,202.43

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Solution

The fourth proportional to 2,086.35, 2,879.16 and 1,202.43 is: 1,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.35 : 2,879.16 = 1,202.43 : x
  2. Step 2: Convert to fraction form
    2,086.35/2,879.16 = 1,202.43/x
  3. Step 3: Cross multiply
    2,086.35x = 2,879.16 × 1,202.43
  4. Step 4: Simplify right side
    2,086.35x = 3,461,988.36
  5. Step 5: Solve for x
    x = 3,461,988.36/2,086.35
  6. Step 6: Final answer
    x = 1,659.35

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