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Finding the Fourth Proportional to 3,112.97, 4,295.15 and 1,853.22

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Solution

The fourth proportional to 3,112.97, 4,295.15 and 1,853.22 is: 2,556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.97 : 4,295.15 = 1,853.22 : x
  2. Step 2: Convert to fraction form
    3,112.97/4,295.15 = 1,853.22/x
  3. Step 3: Cross multiply
    3,112.97x = 4,295.15 × 1,853.22
  4. Step 4: Simplify right side
    3,112.97x = 7,959,848.62
  5. Step 5: Solve for x
    x = 7,959,848.62/3,112.97
  6. Step 6: Final answer
    x = 2,556.99

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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.