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Finding the Fourth Proportional to 2,968.36, 4,096.65 and 1,850.38

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Solution

The fourth proportional to 2,968.36, 4,096.65 and 1,850.38 is: 2,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.36 : 4,096.65 = 1,850.38 : x
  2. Step 2: Convert to fraction form
    2,968.36/4,096.65 = 1,850.38/x
  3. Step 3: Cross multiply
    2,968.36x = 4,096.65 × 1,850.38
  4. Step 4: Simplify right side
    2,968.36x = 7,580,359.23
  5. Step 5: Solve for x
    x = 7,580,359.23/2,968.36
  6. Step 6: Final answer
    x = 2,553.72

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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.