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Finding the Fourth Proportional to 2,751.89, 3,796.00 and 1,755.59

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Solution

The fourth proportional to 2,751.89, 3,796.00 and 1,755.59 is: 2,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.89 : 3,796.00 = 1,755.59 : x
  2. Step 2: Convert to fraction form
    2,751.89/3,796.00 = 1,755.59/x
  3. Step 3: Cross multiply
    2,751.89x = 3,796.00 × 1,755.59
  4. Step 4: Simplify right side
    2,751.89x = 6,664,196.27
  5. Step 5: Solve for x
    x = 6,664,196.27/2,751.89
  6. Step 6: Final answer
    x = 2,421.68

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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.