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Finding the Fourth Proportional to 2,099.96, 3,147.90 and 712.04

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Solution

The fourth proportional to 2,099.96, 3,147.90 and 712.04 is: 1,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.96 : 3,147.90 = 712.04 : x
  2. Step 2: Convert to fraction form
    2,099.96/3,147.90 = 712.04/x
  3. Step 3: Cross multiply
    2,099.96x = 3,147.90 × 712.04
  4. Step 4: Simplify right side
    2,099.96x = 2,241,430.72
  5. Step 5: Solve for x
    x = 2,241,430.72/2,099.96
  6. Step 6: Final answer
    x = 1,067.37

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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.