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Finding the Fourth Proportional to 2,893.97, 3,992.75 and 1,774.35

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Solution

The fourth proportional to 2,893.97, 3,992.75 and 1,774.35 is: 2,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.97 : 3,992.75 = 1,774.35 : x
  2. Step 2: Convert to fraction form
    2,893.97/3,992.75 = 1,774.35/x
  3. Step 3: Cross multiply
    2,893.97x = 3,992.75 × 1,774.35
  4. Step 4: Simplify right side
    2,893.97x = 7,084,527.09
  5. Step 5: Solve for x
    x = 7,084,527.09/2,893.97
  6. Step 6: Final answer
    x = 2,448.03

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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.