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Finding the Fourth Proportional to 3,140.69, 4,711.64 and 1,194.26

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Solution

The fourth proportional to 3,140.69, 4,711.64 and 1,194.26 is: 1,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.69 : 4,711.64 = 1,194.26 : x
  2. Step 2: Convert to fraction form
    3,140.69/4,711.64 = 1,194.26/x
  3. Step 3: Cross multiply
    3,140.69x = 4,711.64 × 1,194.26
  4. Step 4: Simplify right side
    3,140.69x = 5,626,893.66
  5. Step 5: Solve for x
    x = 5,626,893.66/3,140.69
  6. Step 6: Final answer
    x = 1,791.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.