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Finding the Fourth Proportional to 2,780.56, 3,837.83 and 1,662.00

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Solution

The fourth proportional to 2,780.56, 3,837.83 and 1,662.00 is: 2,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.56 : 3,837.83 = 1,662.00 : x
  2. Step 2: Convert to fraction form
    2,780.56/3,837.83 = 1,662.00/x
  3. Step 3: Cross multiply
    2,780.56x = 3,837.83 × 1,662.00
  4. Step 4: Simplify right side
    2,780.56x = 6,378,481.69
  5. Step 5: Solve for x
    x = 6,378,481.69/2,780.56
  6. Step 6: Final answer
    x = 2,293.95

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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.