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Finding the Fourth Proportional to 2,968.38, 4,093.65 and 2,548.60

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Solution

The fourth proportional to 2,968.38, 4,093.65 and 2,548.60 is: 3,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.38 : 4,093.65 = 2,548.60 : x
  2. Step 2: Convert to fraction form
    2,968.38/4,093.65 = 2,548.60/x
  3. Step 3: Cross multiply
    2,968.38x = 4,093.65 × 2,548.60
  4. Step 4: Simplify right side
    2,968.38x = 10,433,066.16
  5. Step 5: Solve for x
    x = 10,433,066.16/2,968.38
  6. Step 6: Final answer
    x = 3,514.73

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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.