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Finding the Fourth Proportional to 3,071.63, 4,238.85 and 1,745.34

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Solution

The fourth proportional to 3,071.63, 4,238.85 and 1,745.34 is: 2,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.63 : 4,238.85 = 1,745.34 : x
  2. Step 2: Convert to fraction form
    3,071.63/4,238.85 = 1,745.34/x
  3. Step 3: Cross multiply
    3,071.63x = 4,238.85 × 1,745.34
  4. Step 4: Simplify right side
    3,071.63x = 7,398,234.46
  5. Step 5: Solve for x
    x = 7,398,234.46/3,071.63
  6. Step 6: Final answer
    x = 2,408.57

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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.