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Finding the Fourth Proportional to 2,732.30, 3,771.86 and 1,849.53

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Solution

The fourth proportional to 2,732.30, 3,771.86 and 1,849.53 is: 2,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.30 : 3,771.86 = 1,849.53 : x
  2. Step 2: Convert to fraction form
    2,732.30/3,771.86 = 1,849.53/x
  3. Step 3: Cross multiply
    2,732.30x = 3,771.86 × 1,849.53
  4. Step 4: Simplify right side
    2,732.30x = 6,976,158.98
  5. Step 5: Solve for x
    x = 6,976,158.98/2,732.30
  6. Step 6: Final answer
    x = 2,553.22

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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.