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Finding the Fourth Proportional to 1,960.47, 2,940.45 and 499.63

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Solution

The fourth proportional to 1,960.47, 2,940.45 and 499.63 is: 749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.47 : 2,940.45 = 499.63 : x
  2. Step 2: Convert to fraction form
    1,960.47/2,940.45 = 499.63/x
  3. Step 3: Cross multiply
    1,960.47x = 2,940.45 × 499.63
  4. Step 4: Simplify right side
    1,960.47x = 1,469,137.03
  5. Step 5: Solve for x
    x = 1,469,137.03/1,960.47
  6. Step 6: Final answer
    x = 749.38

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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.