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Finding the Fourth Proportional to 2,299.06, 3,446.88 and 911.26

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Solution

The fourth proportional to 2,299.06, 3,446.88 and 911.26 is: 1,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.06 : 3,446.88 = 911.26 : x
  2. Step 2: Convert to fraction form
    2,299.06/3,446.88 = 911.26/x
  3. Step 3: Cross multiply
    2,299.06x = 3,446.88 × 911.26
  4. Step 4: Simplify right side
    2,299.06x = 3,141,003.87
  5. Step 5: Solve for x
    x = 3,141,003.87/2,299.06
  6. Step 6: Final answer
    x = 1,366.21

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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.