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Finding the Fourth Proportional to 1,968.05, 2,952.06 and 798.03

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Solution

The fourth proportional to 1,968.05, 2,952.06 and 798.03 is: 1,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.05 : 2,952.06 = 798.03 : x
  2. Step 2: Convert to fraction form
    1,968.05/2,952.06 = 798.03/x
  3. Step 3: Cross multiply
    1,968.05x = 2,952.06 × 798.03
  4. Step 4: Simplify right side
    1,968.05x = 2,355,832.44
  5. Step 5: Solve for x
    x = 2,355,832.44/1,968.05
  6. Step 6: Final answer
    x = 1,197.04

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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.