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Finding the Fourth Proportional to 1,745.92, 2,409.40 and 960

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Solution

The fourth proportional to 1,745.92, 2,409.40 and 960 is: 1,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.92 : 2,409.40 = 960 : x
  2. Step 2: Convert to fraction form
    1,745.92/2,409.40 = 960/x
  3. Step 3: Cross multiply
    1,745.92x = 2,409.40 × 960
  4. Step 4: Simplify right side
    1,745.92x = 2,313,024
  5. Step 5: Solve for x
    x = 2,313,024/1,745.92
  6. Step 6: Final answer
    x = 1,324.82

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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.