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Finding the Fourth Proportional to 2,203.47, 3,040.80 and 1,208.73

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Solution

The fourth proportional to 2,203.47, 3,040.80 and 1,208.73 is: 1,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.47 : 3,040.80 = 1,208.73 : x
  2. Step 2: Convert to fraction form
    2,203.47/3,040.80 = 1,208.73/x
  3. Step 3: Cross multiply
    2,203.47x = 3,040.80 × 1,208.73
  4. Step 4: Simplify right side
    2,203.47x = 3,675,513.05
  5. Step 5: Solve for x
    x = 3,675,513.05/2,203.47
  6. Step 6: Final answer
    x = 1,668.06

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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.