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Finding the Fourth Proportional to 3,012.04, 4,518.16 and 820.82

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Solution

The fourth proportional to 3,012.04, 4,518.16 and 820.82 is: 1,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.04 : 4,518.16 = 820.82 : x
  2. Step 2: Convert to fraction form
    3,012.04/4,518.16 = 820.82/x
  3. Step 3: Cross multiply
    3,012.04x = 4,518.16 × 820.82
  4. Step 4: Simplify right side
    3,012.04x = 3,708,596.09
  5. Step 5: Solve for x
    x = 3,708,596.09/3,012.04
  6. Step 6: Final answer
    x = 1,231.26

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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.