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Finding the Fourth Proportional to 2,553.84, 3,832.11 and 1,937.34

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Solution

The fourth proportional to 2,553.84, 3,832.11 and 1,937.34 is: 2,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.84 : 3,832.11 = 1,937.34 : x
  2. Step 2: Convert to fraction form
    2,553.84/3,832.11 = 1,937.34/x
  3. Step 3: Cross multiply
    2,553.84x = 3,832.11 × 1,937.34
  4. Step 4: Simplify right side
    2,553.84x = 7,424,099.99
  5. Step 5: Solve for x
    x = 7,424,099.99/2,553.84
  6. Step 6: Final answer
    x = 2,907.03

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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.