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Finding the Fourth Proportional to 2,209.73, 3,314.39 and 1,114.83

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Solution

The fourth proportional to 2,209.73, 3,314.39 and 1,114.83 is: 1,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.73 : 3,314.39 = 1,114.83 : x
  2. Step 2: Convert to fraction form
    2,209.73/3,314.39 = 1,114.83/x
  3. Step 3: Cross multiply
    2,209.73x = 3,314.39 × 1,114.83
  4. Step 4: Simplify right side
    2,209.73x = 3,694,975.83
  5. Step 5: Solve for x
    x = 3,694,975.83/2,209.73
  6. Step 6: Final answer
    x = 1,672.14

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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.