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Finding the Fourth Proportional to 2,282.00, 3,423.83 and 966.09

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Solution

The fourth proportional to 2,282.00, 3,423.83 and 966.09 is: 1,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.00 : 3,423.83 = 966.09 : x
  2. Step 2: Convert to fraction form
    2,282.00/3,423.83 = 966.09/x
  3. Step 3: Cross multiply
    2,282.00x = 3,423.83 × 966.09
  4. Step 4: Simplify right side
    2,282.00x = 3,307,723.09
  5. Step 5: Solve for x
    x = 3,307,723.09/2,282.00
  6. Step 6: Final answer
    x = 1,449.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.