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Finding the Fourth Proportional to 2,780.97, 3,837.44 and 1,661.50

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Solution

The fourth proportional to 2,780.97, 3,837.44 and 1,661.50 is: 2,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.97 : 3,837.44 = 1,661.50 : x
  2. Step 2: Convert to fraction form
    2,780.97/3,837.44 = 1,661.50/x
  3. Step 3: Cross multiply
    2,780.97x = 3,837.44 × 1,661.50
  4. Step 4: Simplify right side
    2,780.97x = 6,375,906.56
  5. Step 5: Solve for x
    x = 6,375,906.56/2,780.97
  6. Step 6: Final answer
    x = 2,292.69

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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.