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Finding the Fourth Proportional to 3,147.40, 4,339.40 and 1,968.04

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Solution

The fourth proportional to 3,147.40, 4,339.40 and 1,968.04 is: 2,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.40 : 4,339.40 = 1,968.04 : x
  2. Step 2: Convert to fraction form
    3,147.40/4,339.40 = 1,968.04/x
  3. Step 3: Cross multiply
    3,147.40x = 4,339.40 × 1,968.04
  4. Step 4: Simplify right side
    3,147.40x = 8,540,112.78
  5. Step 5: Solve for x
    x = 8,540,112.78/3,147.40
  6. Step 6: Final answer
    x = 2,713.39

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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.