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Finding the Fourth Proportional to 2,299.64, 3,446.26 and 1,201.81

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Solution

The fourth proportional to 2,299.64, 3,446.26 and 1,201.81 is: 1,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.64 : 3,446.26 = 1,201.81 : x
  2. Step 2: Convert to fraction form
    2,299.64/3,446.26 = 1,201.81/x
  3. Step 3: Cross multiply
    2,299.64x = 3,446.26 × 1,201.81
  4. Step 4: Simplify right side
    2,299.64x = 4,141,749.73
  5. Step 5: Solve for x
    x = 4,141,749.73/2,299.64
  6. Step 6: Final answer
    x = 1,801.04

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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.