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Finding the Fourth Proportional to 2,299.46, 3,446.49 and 1,204.34

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Solution

The fourth proportional to 2,299.46, 3,446.49 and 1,204.34 is: 1,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.46 : 3,446.49 = 1,204.34 : x
  2. Step 2: Convert to fraction form
    2,299.46/3,446.49 = 1,204.34/x
  3. Step 3: Cross multiply
    2,299.46x = 3,446.49 × 1,204.34
  4. Step 4: Simplify right side
    2,299.46x = 4,150,745.77
  5. Step 5: Solve for x
    x = 4,150,745.77/2,299.46
  6. Step 6: Final answer
    x = 1,805.10

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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.