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Finding the Fourth Proportional to 2,208.92, 3,313.37 and 1,114.20

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Solution

The fourth proportional to 2,208.92, 3,313.37 and 1,114.20 is: 1,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.92 : 3,313.37 = 1,114.20 : x
  2. Step 2: Convert to fraction form
    2,208.92/3,313.37 = 1,114.20/x
  3. Step 3: Cross multiply
    2,208.92x = 3,313.37 × 1,114.20
  4. Step 4: Simplify right side
    2,208.92x = 3,691,751.28
  5. Step 5: Solve for x
    x = 3,691,751.28/2,208.92
  6. Step 6: Final answer
    x = 1,671.30

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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.