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Finding the Fourth Proportional to 3,071.64, 4,238.96 and 1,745.27

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Solution

The fourth proportional to 3,071.64, 4,238.96 and 1,745.27 is: 2,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.64 : 4,238.96 = 1,745.27 : x
  2. Step 2: Convert to fraction form
    3,071.64/4,238.96 = 1,745.27/x
  3. Step 3: Cross multiply
    3,071.64x = 4,238.96 × 1,745.27
  4. Step 4: Simplify right side
    3,071.64x = 7,398,099.80
  5. Step 5: Solve for x
    x = 7,398,099.80/3,071.64
  6. Step 6: Final answer
    x = 2,408.52

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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.