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Finding the Fourth Proportional to 2,834.73, 4,250.48 and 1,516.86

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Solution

The fourth proportional to 2,834.73, 4,250.48 and 1,516.86 is: 2,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.73 : 4,250.48 = 1,516.86 : x
  2. Step 2: Convert to fraction form
    2,834.73/4,250.48 = 1,516.86/x
  3. Step 3: Cross multiply
    2,834.73x = 4,250.48 × 1,516.86
  4. Step 4: Simplify right side
    2,834.73x = 6,447,375.51
  5. Step 5: Solve for x
    x = 6,447,375.51/2,834.73
  6. Step 6: Final answer
    x = 2,274.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.