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Finding the Fourth Proportional to 2,778.49, 3,832.87 and 1,882.26

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Solution

The fourth proportional to 2,778.49, 3,832.87 and 1,882.26 is: 2,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.49 : 3,832.87 = 1,882.26 : x
  2. Step 2: Convert to fraction form
    2,778.49/3,832.87 = 1,882.26/x
  3. Step 3: Cross multiply
    2,778.49x = 3,832.87 × 1,882.26
  4. Step 4: Simplify right side
    2,778.49x = 7,214,457.89
  5. Step 5: Solve for x
    x = 7,214,457.89/2,778.49
  6. Step 6: Final answer
    x = 2,596.54

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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.