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Finding the Fourth Proportional to 2,768.36, 3,820.46 and 1,589.66

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Solution

The fourth proportional to 2,768.36, 3,820.46 and 1,589.66 is: 2,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.36 : 3,820.46 = 1,589.66 : x
  2. Step 2: Convert to fraction form
    2,768.36/3,820.46 = 1,589.66/x
  3. Step 3: Cross multiply
    2,768.36x = 3,820.46 × 1,589.66
  4. Step 4: Simplify right side
    2,768.36x = 6,073,205.39
  5. Step 5: Solve for x
    x = 6,073,205.39/2,768.36
  6. Step 6: Final answer
    x = 2,193.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.