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Finding the Fourth Proportional to 1,940.70, 2,911.62 and 967.08

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Solution

The fourth proportional to 1,940.70, 2,911.62 and 967.08 is: 1,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.70 : 2,911.62 = 967.08 : x
  2. Step 2: Convert to fraction form
    1,940.70/2,911.62 = 967.08/x
  3. Step 3: Cross multiply
    1,940.70x = 2,911.62 × 967.08
  4. Step 4: Simplify right side
    1,940.70x = 2,815,769.47
  5. Step 5: Solve for x
    x = 2,815,769.47/1,940.70
  6. Step 6: Final answer
    x = 1,450.90

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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.