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Finding the Fourth Proportional to 1,892.36, 2,837.43 and 796.13

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Solution

The fourth proportional to 1,892.36, 2,837.43 and 796.13 is: 1,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.36 : 2,837.43 = 796.13 : x
  2. Step 2: Convert to fraction form
    1,892.36/2,837.43 = 796.13/x
  3. Step 3: Cross multiply
    1,892.36x = 2,837.43 × 796.13
  4. Step 4: Simplify right side
    1,892.36x = 2,258,959.60
  5. Step 5: Solve for x
    x = 2,258,959.60/1,892.36
  6. Step 6: Final answer
    x = 1,193.72

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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.