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Finding the Fourth Proportional to 2,768.22, 3,820.77 and 1,884.38

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Solution

The fourth proportional to 2,768.22, 3,820.77 and 1,884.38 is: 2,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.22 : 3,820.77 = 1,884.38 : x
  2. Step 2: Convert to fraction form
    2,768.22/3,820.77 = 1,884.38/x
  3. Step 3: Cross multiply
    2,768.22x = 3,820.77 × 1,884.38
  4. Step 4: Simplify right side
    2,768.22x = 7,199,763.47
  5. Step 5: Solve for x
    x = 7,199,763.47/2,768.22
  6. Step 6: Final answer
    x = 2,600.86

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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.