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Finding the Fourth Proportional to 1,975.92, 2,961 and 821.04

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Solution

The fourth proportional to 1,975.92, 2,961 and 821.04 is: 1,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.92 : 2,961 = 821.04 : x
  2. Step 2: Convert to fraction form
    1,975.92/2,961 = 821.04/x
  3. Step 3: Cross multiply
    1,975.92x = 2,961 × 821.04
  4. Step 4: Simplify right side
    1,975.92x = 2,431,099.44
  5. Step 5: Solve for x
    x = 2,431,099.44/1,975.92
  6. Step 6: Final answer
    x = 1,230.36

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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.