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Finding the Fourth Proportional to 2,399.31, 3,599.07 and 1,099.89

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Solution

The fourth proportional to 2,399.31, 3,599.07 and 1,099.89 is: 1,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.31 : 3,599.07 = 1,099.89 : x
  2. Step 2: Convert to fraction form
    2,399.31/3,599.07 = 1,099.89/x
  3. Step 3: Cross multiply
    2,399.31x = 3,599.07 × 1,099.89
  4. Step 4: Simplify right side
    2,399.31x = 3,958,581.10
  5. Step 5: Solve for x
    x = 3,958,581.10/2,399.31
  6. Step 6: Final answer
    x = 1,649.88

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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.