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Finding the Fourth Proportional to 2,768.38, 3,820.34 and 1,649.32

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Solution

The fourth proportional to 2,768.38, 3,820.34 and 1,649.32 is: 2,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.38 : 3,820.34 = 1,649.32 : x
  2. Step 2: Convert to fraction form
    2,768.38/3,820.34 = 1,649.32/x
  3. Step 3: Cross multiply
    2,768.38x = 3,820.34 × 1,649.32
  4. Step 4: Simplify right side
    2,768.38x = 6,300,963.17
  5. Step 5: Solve for x
    x = 6,300,963.17/2,768.38
  6. Step 6: Final answer
    x = 2,276.05

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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.