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Finding the Fourth Proportional to 2,796.94, 4,196.01 and 849.29

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Solution

The fourth proportional to 2,796.94, 4,196.01 and 849.29 is: 1,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.94 : 4,196.01 = 849.29 : x
  2. Step 2: Convert to fraction form
    2,796.94/4,196.01 = 849.29/x
  3. Step 3: Cross multiply
    2,796.94x = 4,196.01 × 849.29
  4. Step 4: Simplify right side
    2,796.94x = 3,563,629.33
  5. Step 5: Solve for x
    x = 3,563,629.33/2,796.94
  6. Step 6: Final answer
    x = 1,274.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.