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Finding the Fourth Proportional to 1,745.29, 2,617.53 and 512.37

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Solution

The fourth proportional to 1,745.29, 2,617.53 and 512.37 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.29 : 2,617.53 = 512.37 : x
  2. Step 2: Convert to fraction form
    1,745.29/2,617.53 = 512.37/x
  3. Step 3: Cross multiply
    1,745.29x = 2,617.53 × 512.37
  4. Step 4: Simplify right side
    1,745.29x = 1,341,136.02
  5. Step 5: Solve for x
    x = 1,341,136.02/1,745.29
  6. Step 6: Final answer
    x = 768.43

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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.