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Finding the Fourth Proportional to 2,203.14, 3,040.20 and 1,208.40

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Solution

The fourth proportional to 2,203.14, 3,040.20 and 1,208.40 is: 1,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.14 : 3,040.20 = 1,208.40 : x
  2. Step 2: Convert to fraction form
    2,203.14/3,040.20 = 1,208.40/x
  3. Step 3: Cross multiply
    2,203.14x = 3,040.20 × 1,208.40
  4. Step 4: Simplify right side
    2,203.14x = 3,673,777.68
  5. Step 5: Solve for x
    x = 3,673,777.68/2,203.14
  6. Step 6: Final answer
    x = 1,667.52

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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.