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Finding the Fourth Proportional to 2,769.26, 3,820.37 and 1,649.63

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Solution

The fourth proportional to 2,769.26, 3,820.37 and 1,649.63 is: 2,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.26 : 3,820.37 = 1,649.63 : x
  2. Step 2: Convert to fraction form
    2,769.26/3,820.37 = 1,649.63/x
  3. Step 3: Cross multiply
    2,769.26x = 3,820.37 × 1,649.63
  4. Step 4: Simplify right side
    2,769.26x = 6,302,198.27
  5. Step 5: Solve for x
    x = 6,302,198.27/2,769.26
  6. Step 6: Final answer
    x = 2,275.77

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1.5x scale

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.