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Finding the Fourth Proportional to 1,961.02, 2,942.67 and 729.30

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Solution

The fourth proportional to 1,961.02, 2,942.67 and 729.30 is: 1,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.02 : 2,942.67 = 729.30 : x
  2. Step 2: Convert to fraction form
    1,961.02/2,942.67 = 729.30/x
  3. Step 3: Cross multiply
    1,961.02x = 2,942.67 × 729.30
  4. Step 4: Simplify right side
    1,961.02x = 2,146,089.23
  5. Step 5: Solve for x
    x = 2,146,089.23/1,961.02
  6. Step 6: Final answer
    x = 1,094.37

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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.