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Finding the Fourth Proportional to 2,134.81, 3,201.40 and 979.75

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Solution

The fourth proportional to 2,134.81, 3,201.40 and 979.75 is: 1,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.81 : 3,201.40 = 979.75 : x
  2. Step 2: Convert to fraction form
    2,134.81/3,201.40 = 979.75/x
  3. Step 3: Cross multiply
    2,134.81x = 3,201.40 × 979.75
  4. Step 4: Simplify right side
    2,134.81x = 3,136,571.65
  5. Step 5: Solve for x
    x = 3,136,571.65/2,134.81
  6. Step 6: Final answer
    x = 1,469.25

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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.