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Finding the Fourth Proportional to 2,796.41, 3,857.44 and 1,733.69

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Solution

The fourth proportional to 2,796.41, 3,857.44 and 1,733.69 is: 2,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.41 : 3,857.44 = 1,733.69 : x
  2. Step 2: Convert to fraction form
    2,796.41/3,857.44 = 1,733.69/x
  3. Step 3: Cross multiply
    2,796.41x = 3,857.44 × 1,733.69
  4. Step 4: Simplify right side
    2,796.41x = 6,687,605.15
  5. Step 5: Solve for x
    x = 6,687,605.15/2,796.41
  6. Step 6: Final answer
    x = 2,391.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.