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Finding the Fourth Proportional to 1,745.52, 2,406.42 and 1,272.48

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Solution

The fourth proportional to 1,745.52, 2,406.42 and 1,272.48 is: 1,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.52 : 2,406.42 = 1,272.48 : x
  2. Step 2: Convert to fraction form
    1,745.52/2,406.42 = 1,272.48/x
  3. Step 3: Cross multiply
    1,745.52x = 2,406.42 × 1,272.48
  4. Step 4: Simplify right side
    1,745.52x = 3,062,121.32
  5. Step 5: Solve for x
    x = 3,062,121.32/1,745.52
  6. Step 6: Final answer
    x = 1,754.27

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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.