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Finding the Fourth Proportional to 2,651.50, 3,975.49 and 1,265.05

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Solution

The fourth proportional to 2,651.50, 3,975.49 and 1,265.05 is: 1,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.50 : 3,975.49 = 1,265.05 : x
  2. Step 2: Convert to fraction form
    2,651.50/3,975.49 = 1,265.05/x
  3. Step 3: Cross multiply
    2,651.50x = 3,975.49 × 1,265.05
  4. Step 4: Simplify right side
    2,651.50x = 5,029,193.62
  5. Step 5: Solve for x
    x = 5,029,193.62/2,651.50
  6. Step 6: Final answer
    x = 1,896.74

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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.