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Finding the Fourth Proportional to 1,833.13, 2,749.50 and 516.85

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Solution

The fourth proportional to 1,833.13, 2,749.50 and 516.85 is: 775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.13 : 2,749.50 = 516.85 : x
  2. Step 2: Convert to fraction form
    1,833.13/2,749.50 = 516.85/x
  3. Step 3: Cross multiply
    1,833.13x = 2,749.50 × 516.85
  4. Step 4: Simplify right side
    1,833.13x = 1,421,072.20
  5. Step 5: Solve for x
    x = 1,421,072.20/1,833.13
  6. Step 6: Final answer
    x = 775.22

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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.