Home / 1,965.50-2,942.39-1,270.14

Finding the Fourth Proportional to 1,965.50, 2,942.39 and 1,270.14

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Solution

The fourth proportional to 1,965.50, 2,942.39 and 1,270.14 is: 1,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.50 : 2,942.39 = 1,270.14 : x
  2. Step 2: Convert to fraction form
    1,965.50/2,942.39 = 1,270.14/x
  3. Step 3: Cross multiply
    1,965.50x = 2,942.39 × 1,270.14
  4. Step 4: Simplify right side
    1,965.50x = 3,737,247.23
  5. Step 5: Solve for x
    x = 3,737,247.23/1,965.50
  6. Step 6: Final answer
    x = 1,901.42

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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.