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Finding the Fourth Proportional to 1,821.33, 2,732.09 and 650.75

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Solution

The fourth proportional to 1,821.33, 2,732.09 and 650.75 is: 976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.33 : 2,732.09 = 650.75 : x
  2. Step 2: Convert to fraction form
    1,821.33/2,732.09 = 650.75/x
  3. Step 3: Cross multiply
    1,821.33x = 2,732.09 × 650.75
  4. Step 4: Simplify right side
    1,821.33x = 1,777,890.65
  5. Step 5: Solve for x
    x = 1,777,890.65/1,821.33
  6. Step 6: Final answer
    x = 976.15

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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.