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Finding the Fourth Proportional to 1,745.97, 2,619.12 and 513.38

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Solution

The fourth proportional to 1,745.97, 2,619.12 and 513.38 is: 770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.97 : 2,619.12 = 513.38 : x
  2. Step 2: Convert to fraction form
    1,745.97/2,619.12 = 513.38/x
  3. Step 3: Cross multiply
    1,745.97x = 2,619.12 × 513.38
  4. Step 4: Simplify right side
    1,745.97x = 1,344,603.83
  5. Step 5: Solve for x
    x = 1,344,603.83/1,745.97
  6. Step 6: Final answer
    x = 770.12

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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.