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Finding the Fourth Proportional to 1,960.79, 2,942.34 and 729.07

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Solution

The fourth proportional to 1,960.79, 2,942.34 and 729.07 is: 1,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.79 : 2,942.34 = 729.07 : x
  2. Step 2: Convert to fraction form
    1,960.79/2,942.34 = 729.07/x
  3. Step 3: Cross multiply
    1,960.79x = 2,942.34 × 729.07
  4. Step 4: Simplify right side
    1,960.79x = 2,145,171.82
  5. Step 5: Solve for x
    x = 2,145,171.82/1,960.79
  6. Step 6: Final answer
    x = 1,094.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.