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Finding the Fourth Proportional to 2,553.13, 3,847.07 and 2,101.05

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Solution

The fourth proportional to 2,553.13, 3,847.07 and 2,101.05 is: 3,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.13 : 3,847.07 = 2,101.05 : x
  2. Step 2: Convert to fraction form
    2,553.13/3,847.07 = 2,101.05/x
  3. Step 3: Cross multiply
    2,553.13x = 3,847.07 × 2,101.05
  4. Step 4: Simplify right side
    2,553.13x = 8,082,891.68
  5. Step 5: Solve for x
    x = 8,082,891.68/2,553.13
  6. Step 6: Final answer
    x = 3,165.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.