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Finding the Fourth Proportional to 2,553.99, 3,832.20 and 1,254.75

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Solution

The fourth proportional to 2,553.99, 3,832.20 and 1,254.75 is: 1,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.99 : 3,832.20 = 1,254.75 : x
  2. Step 2: Convert to fraction form
    2,553.99/3,832.20 = 1,254.75/x
  3. Step 3: Cross multiply
    2,553.99x = 3,832.20 × 1,254.75
  4. Step 4: Simplify right side
    2,553.99x = 4,808,452.95
  5. Step 5: Solve for x
    x = 4,808,452.95/2,553.99
  6. Step 6: Final answer
    x = 1,882.72

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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.