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Finding the Fourth Proportional to 2,702.97, 3,730.46 and 1,584.35

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Solution

The fourth proportional to 2,702.97, 3,730.46 and 1,584.35 is: 2,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.97 : 3,730.46 = 1,584.35 : x
  2. Step 2: Convert to fraction form
    2,702.97/3,730.46 = 1,584.35/x
  3. Step 3: Cross multiply
    2,702.97x = 3,730.46 × 1,584.35
  4. Step 4: Simplify right side
    2,702.97x = 5,910,354.30
  5. Step 5: Solve for x
    x = 5,910,354.30/2,702.97
  6. Step 6: Final answer
    x = 2,186.61

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