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Finding the Fourth Proportional to 2,777.98, 3,833.60 and 1,519.06

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Solution

The fourth proportional to 2,777.98, 3,833.60 and 1,519.06 is: 2,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.98 : 3,833.60 = 1,519.06 : x
  2. Step 2: Convert to fraction form
    2,777.98/3,833.60 = 1,519.06/x
  3. Step 3: Cross multiply
    2,777.98x = 3,833.60 × 1,519.06
  4. Step 4: Simplify right side
    2,777.98x = 5,823,468.42
  5. Step 5: Solve for x
    x = 5,823,468.42/2,777.98
  6. Step 6: Final answer
    x = 2,096.30

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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.