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Finding the Fourth Proportional to 2,768.70, 3,820.40 and 1,649.61

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Solution

The fourth proportional to 2,768.70, 3,820.40 and 1,649.61 is: 2,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.70 : 3,820.40 = 1,649.61 : x
  2. Step 2: Convert to fraction form
    2,768.70/3,820.40 = 1,649.61/x
  3. Step 3: Cross multiply
    2,768.70x = 3,820.40 × 1,649.61
  4. Step 4: Simplify right side
    2,768.70x = 6,302,170.04
  5. Step 5: Solve for x
    x = 6,302,170.04/2,768.70
  6. Step 6: Final answer
    x = 2,276.22

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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.