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Finding the Fourth Proportional to 3,011.35, 4,517.25 and 820.10

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Solution

The fourth proportional to 3,011.35, 4,517.25 and 820.10 is: 1,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.35 : 4,517.25 = 820.10 : x
  2. Step 2: Convert to fraction form
    3,011.35/4,517.25 = 820.10/x
  3. Step 3: Cross multiply
    3,011.35x = 4,517.25 × 820.10
  4. Step 4: Simplify right side
    3,011.35x = 3,704,596.73
  5. Step 5: Solve for x
    x = 3,704,596.73/3,011.35
  6. Step 6: Final answer
    x = 1,230.21

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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.