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Finding the Fourth Proportional to 2,651.91, 3,978.06 and 802.86

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Solution

The fourth proportional to 2,651.91, 3,978.06 and 802.86 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.91 : 3,978.06 = 802.86 : x
  2. Step 2: Convert to fraction form
    2,651.91/3,978.06 = 802.86/x
  3. Step 3: Cross multiply
    2,651.91x = 3,978.06 × 802.86
  4. Step 4: Simplify right side
    2,651.91x = 3,193,825.25
  5. Step 5: Solve for x
    x = 3,193,825.25/2,651.91
  6. Step 6: Final answer
    x = 1,204.35

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