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Finding the Fourth Proportional to 2,107.36, 3,161.04 and 1,993.16

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Solution

The fourth proportional to 2,107.36, 3,161.04 and 1,993.16 is: 2,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.36 : 3,161.04 = 1,993.16 : x
  2. Step 2: Convert to fraction form
    2,107.36/3,161.04 = 1,993.16/x
  3. Step 3: Cross multiply
    2,107.36x = 3,161.04 × 1,993.16
  4. Step 4: Simplify right side
    2,107.36x = 6,300,458.49
  5. Step 5: Solve for x
    x = 6,300,458.49/2,107.36
  6. Step 6: Final answer
    x = 2,989.74

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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.