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Finding the Fourth Proportional to 2,745.68, 3,789.04 and 1,486.75

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Solution

The fourth proportional to 2,745.68, 3,789.04 and 1,486.75 is: 2,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.68 : 3,789.04 = 1,486.75 : x
  2. Step 2: Convert to fraction form
    2,745.68/3,789.04 = 1,486.75/x
  3. Step 3: Cross multiply
    2,745.68x = 3,789.04 × 1,486.75
  4. Step 4: Simplify right side
    2,745.68x = 5,633,337.08
  5. Step 5: Solve for x
    x = 5,633,337.08/2,745.68
  6. Step 6: Final answer
    x = 2,051.71

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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.