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Finding the Fourth Proportional to 3,282.70, 4,924.12 and 1,333.56

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Solution

The fourth proportional to 3,282.70, 4,924.12 and 1,333.56 is: 2,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.70 : 4,924.12 = 1,333.56 : x
  2. Step 2: Convert to fraction form
    3,282.70/4,924.12 = 1,333.56/x
  3. Step 3: Cross multiply
    3,282.70x = 4,924.12 × 1,333.56
  4. Step 4: Simplify right side
    3,282.70x = 6,566,609.47
  5. Step 5: Solve for x
    x = 6,566,609.47/3,282.70
  6. Step 6: Final answer
    x = 2,000.37

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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.