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Finding the Fourth Proportional to 2,202.76, 3,039.79 and 1,208.05

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Solution

The fourth proportional to 2,202.76, 3,039.79 and 1,208.05 is: 1,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.76 : 3,039.79 = 1,208.05 : x
  2. Step 2: Convert to fraction form
    2,202.76/3,039.79 = 1,208.05/x
  3. Step 3: Cross multiply
    2,202.76x = 3,039.79 × 1,208.05
  4. Step 4: Simplify right side
    2,202.76x = 3,672,218.31
  5. Step 5: Solve for x
    x = 3,672,218.31/2,202.76
  6. Step 6: Final answer
    x = 1,667.10

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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.