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Finding the Fourth Proportional to 2,006.26, 2,766.84 and 1,260.29

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Solution

The fourth proportional to 2,006.26, 2,766.84 and 1,260.29 is: 1,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.26 : 2,766.84 = 1,260.29 : x
  2. Step 2: Convert to fraction form
    2,006.26/2,766.84 = 1,260.29/x
  3. Step 3: Cross multiply
    2,006.26x = 2,766.84 × 1,260.29
  4. Step 4: Simplify right side
    2,006.26x = 3,487,006.95
  5. Step 5: Solve for x
    x = 3,487,006.95/2,006.26
  6. Step 6: Final answer
    x = 1,738.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.