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Finding the Fourth Proportional to 1,956.67, 2,933.02 and 1,226.75

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Solution

The fourth proportional to 1,956.67, 2,933.02 and 1,226.75 is: 1,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.67 : 2,933.02 = 1,226.75 : x
  2. Step 2: Convert to fraction form
    1,956.67/2,933.02 = 1,226.75/x
  3. Step 3: Cross multiply
    1,956.67x = 2,933.02 × 1,226.75
  4. Step 4: Simplify right side
    1,956.67x = 3,598,086.55
  5. Step 5: Solve for x
    x = 3,598,086.55/1,956.67
  6. Step 6: Final answer
    x = 1,838.89

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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.