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Finding the Fourth Proportional to 2,949.75, 4,072.34 and 1,956.38

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Solution

The fourth proportional to 2,949.75, 4,072.34 and 1,956.38 is: 2,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.75 : 4,072.34 = 1,956.38 : x
  2. Step 2: Convert to fraction form
    2,949.75/4,072.34 = 1,956.38/x
  3. Step 3: Cross multiply
    2,949.75x = 4,072.34 × 1,956.38
  4. Step 4: Simplify right side
    2,949.75x = 7,967,044.53
  5. Step 5: Solve for x
    x = 7,967,044.53/2,949.75
  6. Step 6: Final answer
    x = 2,700.92

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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.