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Finding the Fourth Proportional to 2,299.67, 3,446.77 and 1,323.75

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Solution

The fourth proportional to 2,299.67, 3,446.77 and 1,323.75 is: 1,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.67 : 3,446.77 = 1,323.75 : x
  2. Step 2: Convert to fraction form
    2,299.67/3,446.77 = 1,323.75/x
  3. Step 3: Cross multiply
    2,299.67x = 3,446.77 × 1,323.75
  4. Step 4: Simplify right side
    2,299.67x = 4,562,661.79
  5. Step 5: Solve for x
    x = 4,562,661.79/2,299.67
  6. Step 6: Final answer
    x = 1,984.05

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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.