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Finding the Fourth Proportional to 1,963.62, 2,942.49 and 988.50

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Solution

The fourth proportional to 1,963.62, 2,942.49 and 988.50 is: 1,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.62 : 2,942.49 = 988.50 : x
  2. Step 2: Convert to fraction form
    1,963.62/2,942.49 = 988.50/x
  3. Step 3: Cross multiply
    1,963.62x = 2,942.49 × 988.50
  4. Step 4: Simplify right side
    1,963.62x = 2,908,651.37
  5. Step 5: Solve for x
    x = 2,908,651.37/1,963.62
  6. Step 6: Final answer
    x = 1,481.27

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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.