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Finding the Fourth Proportional to 2,698.14, 3,723.17 and 1,990.37

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Solution

The fourth proportional to 2,698.14, 3,723.17 and 1,990.37 is: 2,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.14 : 3,723.17 = 1,990.37 : x
  2. Step 2: Convert to fraction form
    2,698.14/3,723.17 = 1,990.37/x
  3. Step 3: Cross multiply
    2,698.14x = 3,723.17 × 1,990.37
  4. Step 4: Simplify right side
    2,698.14x = 7,410,485.23
  5. Step 5: Solve for x
    x = 7,410,485.23/2,698.14
  6. Step 6: Final answer
    x = 2,746.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.