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Finding the Fourth Proportional to 2,889.90, 3,986.50 and 2,516.22

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Solution

The fourth proportional to 2,889.90, 3,986.50 and 2,516.22 is: 3,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.90 : 3,986.50 = 2,516.22 : x
  2. Step 2: Convert to fraction form
    2,889.90/3,986.50 = 2,516.22/x
  3. Step 3: Cross multiply
    2,889.90x = 3,986.50 × 2,516.22
  4. Step 4: Simplify right side
    2,889.90x = 10,030,911.03
  5. Step 5: Solve for x
    x = 10,030,911.03/2,889.90
  6. Step 6: Final answer
    x = 3,471.02

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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.