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Finding the Fourth Proportional to 2,209.73, 3,314.70 and 1,235.09

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Solution

The fourth proportional to 2,209.73, 3,314.70 and 1,235.09 is: 1,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.73 : 3,314.70 = 1,235.09 : x
  2. Step 2: Convert to fraction form
    2,209.73/3,314.70 = 1,235.09/x
  3. Step 3: Cross multiply
    2,209.73x = 3,314.70 × 1,235.09
  4. Step 4: Simplify right side
    2,209.73x = 4,093,952.82
  5. Step 5: Solve for x
    x = 4,093,952.82/2,209.73
  6. Step 6: Final answer
    x = 1,852.69

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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.