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Finding the Fourth Proportional to 2,099.43, 3,149.49 and 712.62

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Solution

The fourth proportional to 2,099.43, 3,149.49 and 712.62 is: 1,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.43 : 3,149.49 = 712.62 : x
  2. Step 2: Convert to fraction form
    2,099.43/3,149.49 = 712.62/x
  3. Step 3: Cross multiply
    2,099.43x = 3,149.49 × 712.62
  4. Step 4: Simplify right side
    2,099.43x = 2,244,386.00
  5. Step 5: Solve for x
    x = 2,244,386.00/2,099.43
  6. Step 6: Final answer
    x = 1,069.05

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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.