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Finding the Fourth Proportional to 3,012.09, 4,518.37 and 820.77

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Solution

The fourth proportional to 3,012.09, 4,518.37 and 820.77 is: 1,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.09 : 4,518.37 = 820.77 : x
  2. Step 2: Convert to fraction form
    3,012.09/4,518.37 = 820.77/x
  3. Step 3: Cross multiply
    3,012.09x = 4,518.37 × 820.77
  4. Step 4: Simplify right side
    3,012.09x = 3,708,522.01
  5. Step 5: Solve for x
    x = 3,708,522.01/3,012.09
  6. Step 6: Final answer
    x = 1,231.21

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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.