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Finding the Fourth Proportional to 2,797.26, 4,195.44 and 849.18

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Solution

The fourth proportional to 2,797.26, 4,195.44 and 849.18 is: 1,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.26 : 4,195.44 = 849.18 : x
  2. Step 2: Convert to fraction form
    2,797.26/4,195.44 = 849.18/x
  3. Step 3: Cross multiply
    2,797.26x = 4,195.44 × 849.18
  4. Step 4: Simplify right side
    2,797.26x = 3,562,683.74
  5. Step 5: Solve for x
    x = 3,562,683.74/2,797.26
  6. Step 6: Final answer
    x = 1,273.63

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1.5x scale

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.