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Finding the Fourth Proportional to 1,849.97, 2,538.75 and 1,745.64

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Solution

The fourth proportional to 1,849.97, 2,538.75 and 1,745.64 is: 2,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.97 : 2,538.75 = 1,745.64 : x
  2. Step 2: Convert to fraction form
    1,849.97/2,538.75 = 1,745.64/x
  3. Step 3: Cross multiply
    1,849.97x = 2,538.75 × 1,745.64
  4. Step 4: Simplify right side
    1,849.97x = 4,431,743.55
  5. Step 5: Solve for x
    x = 4,431,743.55/1,849.97
  6. Step 6: Final answer
    x = 2,395.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.