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Finding the Fourth Proportional to 2,055.04, 3,082.56 and 516.04

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Solution

The fourth proportional to 2,055.04, 3,082.56 and 516.04 is: 774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.04 : 3,082.56 = 516.04 : x
  2. Step 2: Convert to fraction form
    2,055.04/3,082.56 = 516.04/x
  3. Step 3: Cross multiply
    2,055.04x = 3,082.56 × 516.04
  4. Step 4: Simplify right side
    2,055.04x = 1,590,724.26
  5. Step 5: Solve for x
    x = 1,590,724.26/2,055.04
  6. Step 6: Final answer
    x = 774.06

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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.