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Finding the Fourth Proportional to 2,055.87, 3,084.08 and 1,082.03

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Solution

The fourth proportional to 2,055.87, 3,084.08 and 1,082.03 is: 1,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.87 : 3,084.08 = 1,082.03 : x
  2. Step 2: Convert to fraction form
    2,055.87/3,084.08 = 1,082.03/x
  3. Step 3: Cross multiply
    2,055.87x = 3,084.08 × 1,082.03
  4. Step 4: Simplify right side
    2,055.87x = 3,337,046.25
  5. Step 5: Solve for x
    x = 3,337,046.25/2,055.87
  6. Step 6: Final answer
    x = 1,623.18

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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.