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Finding the Fourth Proportional to 2,992.25, 4,129.93 and 1,797.28

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Solution

The fourth proportional to 2,992.25, 4,129.93 and 1,797.28 is: 2,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.25 : 4,129.93 = 1,797.28 : x
  2. Step 2: Convert to fraction form
    2,992.25/4,129.93 = 1,797.28/x
  3. Step 3: Cross multiply
    2,992.25x = 4,129.93 × 1,797.28
  4. Step 4: Simplify right side
    2,992.25x = 7,422,647.09
  5. Step 5: Solve for x
    x = 7,422,647.09/2,992.25
  6. Step 6: Final answer
    x = 2,480.63

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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.