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Finding the Fourth Proportional to 2,778.98, 3,832.83 and 1,659.68

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Solution

The fourth proportional to 2,778.98, 3,832.83 and 1,659.68 is: 2,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.98 : 3,832.83 = 1,659.68 : x
  2. Step 2: Convert to fraction form
    2,778.98/3,832.83 = 1,659.68/x
  3. Step 3: Cross multiply
    2,778.98x = 3,832.83 × 1,659.68
  4. Step 4: Simplify right side
    2,778.98x = 6,361,271.29
  5. Step 5: Solve for x
    x = 6,361,271.29/2,778.98
  6. Step 6: Final answer
    x = 2,289.07

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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.