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Finding the Fourth Proportional to 3,010.82, 4,516.02 and 819.77

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Solution

The fourth proportional to 3,010.82, 4,516.02 and 819.77 is: 1,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.82 : 4,516.02 = 819.77 : x
  2. Step 2: Convert to fraction form
    3,010.82/4,516.02 = 819.77/x
  3. Step 3: Cross multiply
    3,010.82x = 4,516.02 × 819.77
  4. Step 4: Simplify right side
    3,010.82x = 3,702,075.14
  5. Step 5: Solve for x
    x = 3,702,075.14/3,010.82
  6. Step 6: Final answer
    x = 1,229.59

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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.