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Finding the Fourth Proportional to 1,745.60, 2,618.44 and 1,644.16

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Solution

The fourth proportional to 1,745.60, 2,618.44 and 1,644.16 is: 2,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.60 : 2,618.44 = 1,644.16 : x
  2. Step 2: Convert to fraction form
    1,745.60/2,618.44 = 1,644.16/x
  3. Step 3: Cross multiply
    1,745.60x = 2,618.44 × 1,644.16
  4. Step 4: Simplify right side
    1,745.60x = 4,305,134.31
  5. Step 5: Solve for x
    x = 4,305,134.31/1,745.60
  6. Step 6: Final answer
    x = 2,466.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.