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Finding the Fourth Proportional to 2,082.62, 2,872.93 and 1,410.44

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Solution

The fourth proportional to 2,082.62, 2,872.93 and 1,410.44 is: 1,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.62 : 2,872.93 = 1,410.44 : x
  2. Step 2: Convert to fraction form
    2,082.62/2,872.93 = 1,410.44/x
  3. Step 3: Cross multiply
    2,082.62x = 2,872.93 × 1,410.44
  4. Step 4: Simplify right side
    2,082.62x = 4,052,102.57
  5. Step 5: Solve for x
    x = 4,052,102.57/2,082.62
  6. Step 6: Final answer
    x = 1,945.68

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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.