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Finding the Fourth Proportional to 2,086.38, 2,879.12 and 1,202.18

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Solution

The fourth proportional to 2,086.38, 2,879.12 and 1,202.18 is: 1,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.38 : 2,879.12 = 1,202.18 : x
  2. Step 2: Convert to fraction form
    2,086.38/2,879.12 = 1,202.18/x
  3. Step 3: Cross multiply
    2,086.38x = 2,879.12 × 1,202.18
  4. Step 4: Simplify right side
    2,086.38x = 3,461,220.48
  5. Step 5: Solve for x
    x = 3,461,220.48/2,086.38
  6. Step 6: Final answer
    x = 1,658.96

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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.