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Finding the Fourth Proportional to 2,209.78, 3,314.82 and 911.25

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Solution

The fourth proportional to 2,209.78, 3,314.82 and 911.25 is: 1,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.78 : 3,314.82 = 911.25 : x
  2. Step 2: Convert to fraction form
    2,209.78/3,314.82 = 911.25/x
  3. Step 3: Cross multiply
    2,209.78x = 3,314.82 × 911.25
  4. Step 4: Simplify right side
    2,209.78x = 3,020,633.14
  5. Step 5: Solve for x
    x = 3,020,633.14/2,209.78
  6. Step 6: Final answer
    x = 1,366.94

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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.