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Finding the Fourth Proportional to 2,105.62, 3,158.43 and 2,054.87

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Solution

The fourth proportional to 2,105.62, 3,158.43 and 2,054.87 is: 3,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.62 : 3,158.43 = 2,054.87 : x
  2. Step 2: Convert to fraction form
    2,105.62/3,158.43 = 2,054.87/x
  3. Step 3: Cross multiply
    2,105.62x = 3,158.43 × 2,054.87
  4. Step 4: Simplify right side
    2,105.62x = 6,490,163.05
  5. Step 5: Solve for x
    x = 6,490,163.05/2,105.62
  6. Step 6: Final answer
    x = 3,082.31

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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.