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Finding the Fourth Proportional to 2,731.38, 4,097.07 and 679.38

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Solution

The fourth proportional to 2,731.38, 4,097.07 and 679.38 is: 1,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.38 : 4,097.07 = 679.38 : x
  2. Step 2: Convert to fraction form
    2,731.38/4,097.07 = 679.38/x
  3. Step 3: Cross multiply
    2,731.38x = 4,097.07 × 679.38
  4. Step 4: Simplify right side
    2,731.38x = 2,783,443.53
  5. Step 5: Solve for x
    x = 2,783,443.53/2,731.38
  6. Step 6: Final answer
    x = 1,019.06

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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.