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Finding the Fourth Proportional to 2,936.99, 4,052.66 and 1,677.97

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Solution

The fourth proportional to 2,936.99, 4,052.66 and 1,677.97 is: 2,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.99 : 4,052.66 = 1,677.97 : x
  2. Step 2: Convert to fraction form
    2,936.99/4,052.66 = 1,677.97/x
  3. Step 3: Cross multiply
    2,936.99x = 4,052.66 × 1,677.97
  4. Step 4: Simplify right side
    2,936.99x = 6,800,223.38
  5. Step 5: Solve for x
    x = 6,800,223.38/2,936.99
  6. Step 6: Final answer
    x = 2,315.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.