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Finding the Fourth Proportional to 2,858.49, 3,945.90 and 2,072.38

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Solution

The fourth proportional to 2,858.49, 3,945.90 and 2,072.38 is: 2,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.49 : 3,945.90 = 2,072.38 : x
  2. Step 2: Convert to fraction form
    2,858.49/3,945.90 = 2,072.38/x
  3. Step 3: Cross multiply
    2,858.49x = 3,945.90 × 2,072.38
  4. Step 4: Simplify right side
    2,858.49x = 8,177,404.24
  5. Step 5: Solve for x
    x = 8,177,404.24/2,858.49
  6. Step 6: Final answer
    x = 2,860.74

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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.