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Finding the Fourth Proportional to 2,960.18, 4,440.35 and 768.86

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Solution

The fourth proportional to 2,960.18, 4,440.35 and 768.86 is: 1,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.18 : 4,440.35 = 768.86 : x
  2. Step 2: Convert to fraction form
    2,960.18/4,440.35 = 768.86/x
  3. Step 3: Cross multiply
    2,960.18x = 4,440.35 × 768.86
  4. Step 4: Simplify right side
    2,960.18x = 3,414,007.50
  5. Step 5: Solve for x
    x = 3,414,007.50/2,960.18
  6. Step 6: Final answer
    x = 1,153.31

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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.