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Finding the Fourth Proportional to 2,516.16, 3,771.66 and 871.81

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Solution

The fourth proportional to 2,516.16, 3,771.66 and 871.81 is: 1,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.16 : 3,771.66 = 871.81 : x
  2. Step 2: Convert to fraction form
    2,516.16/3,771.66 = 871.81/x
  3. Step 3: Cross multiply
    2,516.16x = 3,771.66 × 871.81
  4. Step 4: Simplify right side
    2,516.16x = 3,288,147.69
  5. Step 5: Solve for x
    x = 3,288,147.69/2,516.16
  6. Step 6: Final answer
    x = 1,306.81

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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.