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Finding the Fourth Proportional to 1,832.82, 2,749.39 and 516.59

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Solution

The fourth proportional to 1,832.82, 2,749.39 and 516.59 is: 774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.82 : 2,749.39 = 516.59 : x
  2. Step 2: Convert to fraction form
    1,832.82/2,749.39 = 516.59/x
  3. Step 3: Cross multiply
    1,832.82x = 2,749.39 × 516.59
  4. Step 4: Simplify right side
    1,832.82x = 1,420,307.38
  5. Step 5: Solve for x
    x = 1,420,307.38/1,832.82
  6. Step 6: Final answer
    x = 774.93

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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.