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Finding the Fourth Proportional to 2,767.92, 3,819.60 and 1,649.60

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Solution

The fourth proportional to 2,767.92, 3,819.60 and 1,649.60 is: 2,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 3,819.60 = 1,649.60 : x
  2. Step 2: Convert to fraction form
    2,767.92/3,819.60 = 1,649.60/x
  3. Step 3: Cross multiply
    2,767.92x = 3,819.60 × 1,649.60
  4. Step 4: Simplify right side
    2,767.92x = 6,300,812.16
  5. Step 5: Solve for x
    x = 6,300,812.16/2,767.92
  6. Step 6: Final answer
    x = 2,276.37

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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.