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Finding the Fourth Proportional to 3,202.28, 4,419.98 and 2,086.28

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Solution

The fourth proportional to 3,202.28, 4,419.98 and 2,086.28 is: 2,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.28 : 4,419.98 = 2,086.28 : x
  2. Step 2: Convert to fraction form
    3,202.28/4,419.98 = 2,086.28/x
  3. Step 3: Cross multiply
    3,202.28x = 4,419.98 × 2,086.28
  4. Step 4: Simplify right side
    3,202.28x = 9,221,283.34
  5. Step 5: Solve for x
    x = 9,221,283.34/3,202.28
  6. Step 6: Final answer
    x = 2,879.60

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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.