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Finding the Fourth Proportional to 2,791.68, 4,185.86 and 942.34

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Solution

The fourth proportional to 2,791.68, 4,185.86 and 942.34 is: 1,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.68 : 4,185.86 = 942.34 : x
  2. Step 2: Convert to fraction form
    2,791.68/4,185.86 = 942.34/x
  3. Step 3: Cross multiply
    2,791.68x = 4,185.86 × 942.34
  4. Step 4: Simplify right side
    2,791.68x = 3,944,503.31
  5. Step 5: Solve for x
    x = 3,944,503.31/2,791.68
  6. Step 6: Final answer
    x = 1,412.95

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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.