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Finding the Fourth Proportional to 1,745.06, 2,616.96 and 512.14

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Solution

The fourth proportional to 1,745.06, 2,616.96 and 512.14 is: 768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.06 : 2,616.96 = 512.14 : x
  2. Step 2: Convert to fraction form
    1,745.06/2,616.96 = 512.14/x
  3. Step 3: Cross multiply
    1,745.06x = 2,616.96 × 512.14
  4. Step 4: Simplify right side
    1,745.06x = 1,340,249.89
  5. Step 5: Solve for x
    x = 1,340,249.89/1,745.06
  6. Step 6: Final answer
    x = 768.03

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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.