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Finding the Fourth Proportional to 2,665.53, 3,997.44 and 1,849.05

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Solution

The fourth proportional to 2,665.53, 3,997.44 and 1,849.05 is: 2,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.53 : 3,997.44 = 1,849.05 : x
  2. Step 2: Convert to fraction form
    2,665.53/3,997.44 = 1,849.05/x
  3. Step 3: Cross multiply
    2,665.53x = 3,997.44 × 1,849.05
  4. Step 4: Simplify right side
    2,665.53x = 7,391,466.43
  5. Step 5: Solve for x
    x = 7,391,466.43/2,665.53
  6. Step 6: Final answer
    x = 2,772.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.