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Finding the Fourth Proportional to 2,714.21, 3,745.18 and 1,596.11

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Solution

The fourth proportional to 2,714.21, 3,745.18 and 1,596.11 is: 2,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.21 : 3,745.18 = 1,596.11 : x
  2. Step 2: Convert to fraction form
    2,714.21/3,745.18 = 1,596.11/x
  3. Step 3: Cross multiply
    2,714.21x = 3,745.18 × 1,596.11
  4. Step 4: Simplify right side
    2,714.21x = 5,977,692.54
  5. Step 5: Solve for x
    x = 5,977,692.54/2,714.21
  6. Step 6: Final answer
    x = 2,202.37

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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.