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Finding the Fourth Proportional to 2,796.93, 4,197.57 and 1,973.43

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Solution

The fourth proportional to 2,796.93, 4,197.57 and 1,973.43 is: 2,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.93 : 4,197.57 = 1,973.43 : x
  2. Step 2: Convert to fraction form
    2,796.93/4,197.57 = 1,973.43/x
  3. Step 3: Cross multiply
    2,796.93x = 4,197.57 × 1,973.43
  4. Step 4: Simplify right side
    2,796.93x = 8,283,610.57
  5. Step 5: Solve for x
    x = 8,283,610.57/2,796.93
  6. Step 6: Final answer
    x = 2,961.68

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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.