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Finding the Fourth Proportional to 1,964.54, 2,711.20 and 1,167.65

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Solution

The fourth proportional to 1,964.54, 2,711.20 and 1,167.65 is: 1,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.54 : 2,711.20 = 1,167.65 : x
  2. Step 2: Convert to fraction form
    1,964.54/2,711.20 = 1,167.65/x
  3. Step 3: Cross multiply
    1,964.54x = 2,711.20 × 1,167.65
  4. Step 4: Simplify right side
    1,964.54x = 3,165,736.72
  5. Step 5: Solve for x
    x = 3,165,736.72/1,964.54
  6. Step 6: Final answer
    x = 1,611.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.