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Finding the Fourth Proportional to 1,942.40, 2,914.31 and 955.11

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Solution

The fourth proportional to 1,942.40, 2,914.31 and 955.11 is: 1,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.40 : 2,914.31 = 955.11 : x
  2. Step 2: Convert to fraction form
    1,942.40/2,914.31 = 955.11/x
  3. Step 3: Cross multiply
    1,942.40x = 2,914.31 × 955.11
  4. Step 4: Simplify right side
    1,942.40x = 2,783,481.85
  5. Step 5: Solve for x
    x = 2,783,481.85/1,942.40
  6. Step 6: Final answer
    x = 1,433.02

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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.