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Finding the Fourth Proportional to 1,982.48, 2,973.85 and 796.52

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Solution

The fourth proportional to 1,982.48, 2,973.85 and 796.52 is: 1,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.48 : 2,973.85 = 796.52 : x
  2. Step 2: Convert to fraction form
    1,982.48/2,973.85 = 796.52/x
  3. Step 3: Cross multiply
    1,982.48x = 2,973.85 × 796.52
  4. Step 4: Simplify right side
    1,982.48x = 2,368,725.32
  5. Step 5: Solve for x
    x = 2,368,725.32/1,982.48
  6. Step 6: Final answer
    x = 1,194.83

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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.