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Finding the Fourth Proportional to 3,044.72, 4,201.16 and 1,849.46

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Solution

The fourth proportional to 3,044.72, 4,201.16 and 1,849.46 is: 2,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.72 : 4,201.16 = 1,849.46 : x
  2. Step 2: Convert to fraction form
    3,044.72/4,201.16 = 1,849.46/x
  3. Step 3: Cross multiply
    3,044.72x = 4,201.16 × 1,849.46
  4. Step 4: Simplify right side
    3,044.72x = 7,769,847.12
  5. Step 5: Solve for x
    x = 7,769,847.12/3,044.72
  6. Step 6: Final answer
    x = 2,551.91

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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.