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Finding the Fourth Proportional to 2,743.98, 3,788.44 and 1,904.42

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Solution

The fourth proportional to 2,743.98, 3,788.44 and 1,904.42 is: 2,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.98 : 3,788.44 = 1,904.42 : x
  2. Step 2: Convert to fraction form
    2,743.98/3,788.44 = 1,904.42/x
  3. Step 3: Cross multiply
    2,743.98x = 3,788.44 × 1,904.42
  4. Step 4: Simplify right side
    2,743.98x = 7,214,780.90
  5. Step 5: Solve for x
    x = 7,214,780.90/2,743.98
  6. Step 6: Final answer
    x = 2,629.31

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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.