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Finding the Fourth Proportional to 3,147.78, 4,342.68 and 1,969.65

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Solution

The fourth proportional to 3,147.78, 4,342.68 and 1,969.65 is: 2,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.78 : 4,342.68 = 1,969.65 : x
  2. Step 2: Convert to fraction form
    3,147.78/4,342.68 = 1,969.65/x
  3. Step 3: Cross multiply
    3,147.78x = 4,342.68 × 1,969.65
  4. Step 4: Simplify right side
    3,147.78x = 8,553,559.66
  5. Step 5: Solve for x
    x = 8,553,559.66/3,147.78
  6. Step 6: Final answer
    x = 2,717.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.