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Finding the Fourth Proportional to 2,055.12, 3,082.72 and 516.08

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Solution

The fourth proportional to 2,055.12, 3,082.72 and 516.08 is: 774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.12 : 3,082.72 = 516.08 : x
  2. Step 2: Convert to fraction form
    2,055.12/3,082.72 = 516.08/x
  3. Step 3: Cross multiply
    2,055.12x = 3,082.72 × 516.08
  4. Step 4: Simplify right side
    2,055.12x = 1,590,930.14
  5. Step 5: Solve for x
    x = 1,590,930.14/2,055.12
  6. Step 6: Final answer
    x = 774.13

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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.