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Finding the Fourth Proportional to 2,731.89, 4,099.04 and 1,433.06

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Solution

The fourth proportional to 2,731.89, 4,099.04 and 1,433.06 is: 2,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.89 : 4,099.04 = 1,433.06 : x
  2. Step 2: Convert to fraction form
    2,731.89/4,099.04 = 1,433.06/x
  3. Step 3: Cross multiply
    2,731.89x = 4,099.04 × 1,433.06
  4. Step 4: Simplify right side
    2,731.89x = 5,874,142.60
  5. Step 5: Solve for x
    x = 5,874,142.60/2,731.89
  6. Step 6: Final answer
    x = 2,150.21

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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.