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Finding the Fourth Proportional to 2,431.81, 3,647.99 and 2,099.44

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Solution

The fourth proportional to 2,431.81, 3,647.99 and 2,099.44 is: 3,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.81 : 3,647.99 = 2,099.44 : x
  2. Step 2: Convert to fraction form
    2,431.81/3,647.99 = 2,099.44/x
  3. Step 3: Cross multiply
    2,431.81x = 3,647.99 × 2,099.44
  4. Step 4: Simplify right side
    2,431.81x = 7,658,736.13
  5. Step 5: Solve for x
    x = 7,658,736.13/2,431.81
  6. Step 6: Final answer
    x = 3,149.40

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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.