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Finding the Fourth Proportional to 3,194.52, 4,406.94 and 2,017.32

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Solution

The fourth proportional to 3,194.52, 4,406.94 and 2,017.32 is: 2,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.52 : 4,406.94 = 2,017.32 : x
  2. Step 2: Convert to fraction form
    3,194.52/4,406.94 = 2,017.32/x
  3. Step 3: Cross multiply
    3,194.52x = 4,406.94 × 2,017.32
  4. Step 4: Simplify right side
    3,194.52x = 8,890,208.20
  5. Step 5: Solve for x
    x = 8,890,208.20/3,194.52
  6. Step 6: Final answer
    x = 2,782.96

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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.