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Finding the Fourth Proportional to 2,055.38, 3,083.06 and 516.38

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Solution

The fourth proportional to 2,055.38, 3,083.06 and 516.38 is: 774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.38 : 3,083.06 = 516.38 : x
  2. Step 2: Convert to fraction form
    2,055.38/3,083.06 = 516.38/x
  3. Step 3: Cross multiply
    2,055.38x = 3,083.06 × 516.38
  4. Step 4: Simplify right side
    2,055.38x = 1,592,016.40
  5. Step 5: Solve for x
    x = 1,592,016.40/2,055.38
  6. Step 6: Final answer
    x = 774.56

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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.