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Finding the Fourth Proportional to 2,203.05, 3,040.24 and 1,208.31

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Solution

The fourth proportional to 2,203.05, 3,040.24 and 1,208.31 is: 1,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.05 : 3,040.24 = 1,208.31 : x
  2. Step 2: Convert to fraction form
    2,203.05/3,040.24 = 1,208.31/x
  3. Step 3: Cross multiply
    2,203.05x = 3,040.24 × 1,208.31
  4. Step 4: Simplify right side
    2,203.05x = 3,673,552.19
  5. Step 5: Solve for x
    x = 3,673,552.19/2,203.05
  6. Step 6: Final answer
    x = 1,667.49

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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.