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Finding the Fourth Proportional to 3,208.36, 4,813.08 and 1,233.84

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Solution

The fourth proportional to 3,208.36, 4,813.08 and 1,233.84 is: 1,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.36 : 4,813.08 = 1,233.84 : x
  2. Step 2: Convert to fraction form
    3,208.36/4,813.08 = 1,233.84/x
  3. Step 3: Cross multiply
    3,208.36x = 4,813.08 × 1,233.84
  4. Step 4: Simplify right side
    3,208.36x = 5,938,570.63
  5. Step 5: Solve for x
    x = 5,938,570.63/3,208.36
  6. Step 6: Final answer
    x = 1,850.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.