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Finding the Fourth Proportional to 2,769.75, 3,820.53 and 1,649.92

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Solution

The fourth proportional to 2,769.75, 3,820.53 and 1,649.92 is: 2,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.75 : 3,820.53 = 1,649.92 : x
  2. Step 2: Convert to fraction form
    2,769.75/3,820.53 = 1,649.92/x
  3. Step 3: Cross multiply
    2,769.75x = 3,820.53 × 1,649.92
  4. Step 4: Simplify right side
    2,769.75x = 6,303,568.86
  5. Step 5: Solve for x
    x = 6,303,568.86/2,769.75
  6. Step 6: Final answer
    x = 2,275.86

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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.