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Finding the Fourth Proportional to 2,082.69, 3,125.07 and 850.41

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Solution

The fourth proportional to 2,082.69, 3,125.07 and 850.41 is: 1,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.69 : 3,125.07 = 850.41 : x
  2. Step 2: Convert to fraction form
    2,082.69/3,125.07 = 850.41/x
  3. Step 3: Cross multiply
    2,082.69x = 3,125.07 × 850.41
  4. Step 4: Simplify right side
    2,082.69x = 2,657,590.78
  5. Step 5: Solve for x
    x = 2,657,590.78/2,082.69
  6. Step 6: Final answer
    x = 1,276.04

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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.