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Finding the Fourth Proportional to 2,054.99, 3,083.09 and 1,328.42

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Solution

The fourth proportional to 2,054.99, 3,083.09 and 1,328.42 is: 1,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.99 : 3,083.09 = 1,328.42 : x
  2. Step 2: Convert to fraction form
    2,054.99/3,083.09 = 1,328.42/x
  3. Step 3: Cross multiply
    2,054.99x = 3,083.09 × 1,328.42
  4. Step 4: Simplify right side
    2,054.99x = 4,095,616.36
  5. Step 5: Solve for x
    x = 4,095,616.36/2,054.99
  6. Step 6: Final answer
    x = 1,993.02

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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.