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Finding the Fourth Proportional to 2,986.79, 4,122.21 and 2,150.25

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Solution

The fourth proportional to 2,986.79, 4,122.21 and 2,150.25 is: 2,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.79 : 4,122.21 = 2,150.25 : x
  2. Step 2: Convert to fraction form
    2,986.79/4,122.21 = 2,150.25/x
  3. Step 3: Cross multiply
    2,986.79x = 4,122.21 × 2,150.25
  4. Step 4: Simplify right side
    2,986.79x = 8,863,782.05
  5. Step 5: Solve for x
    x = 8,863,782.05/2,986.79
  6. Step 6: Final answer
    x = 2,967.67

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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.