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Finding the Fourth Proportional to 3,415.80, 5,124.53 and 1,194.31

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Solution

The fourth proportional to 3,415.80, 5,124.53 and 1,194.31 is: 1,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.80 : 5,124.53 = 1,194.31 : x
  2. Step 2: Convert to fraction form
    3,415.80/5,124.53 = 1,194.31/x
  3. Step 3: Cross multiply
    3,415.80x = 5,124.53 × 1,194.31
  4. Step 4: Simplify right side
    3,415.80x = 6,120,286.82
  5. Step 5: Solve for x
    x = 6,120,286.82/3,415.80
  6. Step 6: Final answer
    x = 1,791.76

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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.