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Finding the Fourth Proportional to 3,012.44, 4,518.20 and 821.35

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Solution

The fourth proportional to 3,012.44, 4,518.20 and 821.35 is: 1,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.44 : 4,518.20 = 821.35 : x
  2. Step 2: Convert to fraction form
    3,012.44/4,518.20 = 821.35/x
  3. Step 3: Cross multiply
    3,012.44x = 4,518.20 × 821.35
  4. Step 4: Simplify right side
    3,012.44x = 3,710,996.87
  5. Step 5: Solve for x
    x = 3,710,996.87/3,012.44
  6. Step 6: Final answer
    x = 1,231.89

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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.