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Finding the Fourth Proportional to 1,745.37, 2,408.64 and 959.49

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Solution

The fourth proportional to 1,745.37, 2,408.64 and 959.49 is: 1,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.37 : 2,408.64 = 959.49 : x
  2. Step 2: Convert to fraction form
    1,745.37/2,408.64 = 959.49/x
  3. Step 3: Cross multiply
    1,745.37x = 2,408.64 × 959.49
  4. Step 4: Simplify right side
    1,745.37x = 2,311,065.99
  5. Step 5: Solve for x
    x = 2,311,065.99/1,745.37
  6. Step 6: Final answer
    x = 1,324.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.