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Finding the Fourth Proportional to 2,603.90, 3,906.37 and 960.45

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Solution

The fourth proportional to 2,603.90, 3,906.37 and 960.45 is: 1,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.90 : 3,906.37 = 960.45 : x
  2. Step 2: Convert to fraction form
    2,603.90/3,906.37 = 960.45/x
  3. Step 3: Cross multiply
    2,603.90x = 3,906.37 × 960.45
  4. Step 4: Simplify right side
    2,603.90x = 3,751,868.26
  5. Step 5: Solve for x
    x = 3,751,868.26/2,603.90
  6. Step 6: Final answer
    x = 1,440.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.