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Finding the Fourth Proportional to 2,208.63, 3,314.46 and 910.09

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Solution

The fourth proportional to 2,208.63, 3,314.46 and 910.09 is: 1,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.63 : 3,314.46 = 910.09 : x
  2. Step 2: Convert to fraction form
    2,208.63/3,314.46 = 910.09/x
  3. Step 3: Cross multiply
    2,208.63x = 3,314.46 × 910.09
  4. Step 4: Simplify right side
    2,208.63x = 3,016,456.90
  5. Step 5: Solve for x
    x = 3,016,456.90/2,208.63
  6. Step 6: Final answer
    x = 1,365.76

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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.