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Finding the Fourth Proportional to 1,942.03, 2,912.10 and 967.60

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Solution

The fourth proportional to 1,942.03, 2,912.10 and 967.60 is: 1,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.03 : 2,912.10 = 967.60 : x
  2. Step 2: Convert to fraction form
    1,942.03/2,912.10 = 967.60/x
  3. Step 3: Cross multiply
    1,942.03x = 2,912.10 × 967.60
  4. Step 4: Simplify right side
    1,942.03x = 2,817,747.96
  5. Step 5: Solve for x
    x = 2,817,747.96/1,942.03
  6. Step 6: Final answer
    x = 1,450.93

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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.