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Finding the Fourth Proportional to 2,745.71, 3,788.89 and 1,697.57

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Solution

The fourth proportional to 2,745.71, 3,788.89 and 1,697.57 is: 2,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.71 : 3,788.89 = 1,697.57 : x
  2. Step 2: Convert to fraction form
    2,745.71/3,788.89 = 1,697.57/x
  3. Step 3: Cross multiply
    2,745.71x = 3,788.89 × 1,697.57
  4. Step 4: Simplify right side
    2,745.71x = 6,431,887.05
  5. Step 5: Solve for x
    x = 6,431,887.05/2,745.71
  6. Step 6: Final answer
    x = 2,342.53

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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.