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Finding the Fourth Proportional to 2,796.66, 4,194.48 and 1,972.38

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Solution

The fourth proportional to 2,796.66, 4,194.48 and 1,972.38 is: 2,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.66 : 4,194.48 = 1,972.38 : x
  2. Step 2: Convert to fraction form
    2,796.66/4,194.48 = 1,972.38/x
  3. Step 3: Cross multiply
    2,796.66x = 4,194.48 × 1,972.38
  4. Step 4: Simplify right side
    2,796.66x = 8,273,131.59
  5. Step 5: Solve for x
    x = 8,273,131.59/2,796.66
  6. Step 6: Final answer
    x = 2,958.22

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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.