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Finding the Fourth Proportional to 2,699.14, 3,724.54 and 1,991.37

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Solution

The fourth proportional to 2,699.14, 3,724.54 and 1,991.37 is: 2,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.14 : 3,724.54 = 1,991.37 : x
  2. Step 2: Convert to fraction form
    2,699.14/3,724.54 = 1,991.37/x
  3. Step 3: Cross multiply
    2,699.14x = 3,724.54 × 1,991.37
  4. Step 4: Simplify right side
    2,699.14x = 7,416,937.22
  5. Step 5: Solve for x
    x = 7,416,937.22/2,699.14
  6. Step 6: Final answer
    x = 2,747.89

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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.