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Finding the Fourth Proportional to 2,960.50, 4,441.53 and 880.52

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Solution

The fourth proportional to 2,960.50, 4,441.53 and 880.52 is: 1,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.50 : 4,441.53 = 880.52 : x
  2. Step 2: Convert to fraction form
    2,960.50/4,441.53 = 880.52/x
  3. Step 3: Cross multiply
    2,960.50x = 4,441.53 × 880.52
  4. Step 4: Simplify right side
    2,960.50x = 3,910,862.07
  5. Step 5: Solve for x
    x = 3,910,862.07/2,960.50
  6. Step 6: Final answer
    x = 1,321.01

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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.