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Finding the Fourth Proportional to 2,791.81, 4,187.74 and 844.09

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Solution

The fourth proportional to 2,791.81, 4,187.74 and 844.09 is: 1,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.81 : 4,187.74 = 844.09 : x
  2. Step 2: Convert to fraction form
    2,791.81/4,187.74 = 844.09/x
  3. Step 3: Cross multiply
    2,791.81x = 4,187.74 × 844.09
  4. Step 4: Simplify right side
    2,791.81x = 3,534,829.46
  5. Step 5: Solve for x
    x = 3,534,829.46/2,791.81
  6. Step 6: Final answer
    x = 1,266.14

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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.