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Finding the Fourth Proportional to 2,399.11, 3,598.61 and 733.23

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Solution

The fourth proportional to 2,399.11, 3,598.61 and 733.23 is: 1,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.11 : 3,598.61 = 733.23 : x
  2. Step 2: Convert to fraction form
    2,399.11/3,598.61 = 733.23/x
  3. Step 3: Cross multiply
    2,399.11x = 3,598.61 × 733.23
  4. Step 4: Simplify right side
    2,399.11x = 2,638,608.81
  5. Step 5: Solve for x
    x = 2,638,608.81/2,399.11
  6. Step 6: Final answer
    x = 1,099.83

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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.