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Finding the Fourth Proportional to 2,055.45, 3,083.16 and 516.45

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Solution

The fourth proportional to 2,055.45, 3,083.16 and 516.45 is: 774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.45 : 3,083.16 = 516.45 : x
  2. Step 2: Convert to fraction form
    2,055.45/3,083.16 = 516.45/x
  3. Step 3: Cross multiply
    2,055.45x = 3,083.16 × 516.45
  4. Step 4: Simplify right side
    2,055.45x = 1,592,297.98
  5. Step 5: Solve for x
    x = 1,592,297.98/2,055.45
  6. Step 6: Final answer
    x = 774.67

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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.