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Finding the Fourth Proportional to 2,163.74, 2,986.07 and 1,268.06

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Solution

The fourth proportional to 2,163.74, 2,986.07 and 1,268.06 is: 1,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.74 : 2,986.07 = 1,268.06 : x
  2. Step 2: Convert to fraction form
    2,163.74/2,986.07 = 1,268.06/x
  3. Step 3: Cross multiply
    2,163.74x = 2,986.07 × 1,268.06
  4. Step 4: Simplify right side
    2,163.74x = 3,786,494.65
  5. Step 5: Solve for x
    x = 3,786,494.65/2,163.74
  6. Step 6: Final answer
    x = 1,749.98

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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.