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Finding the Fourth Proportional to 2,782.83, 4,168.16 and 1,220.74

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Solution

The fourth proportional to 2,782.83, 4,168.16 and 1,220.74 is: 1,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.83 : 4,168.16 = 1,220.74 : x
  2. Step 2: Convert to fraction form
    2,782.83/4,168.16 = 1,220.74/x
  3. Step 3: Cross multiply
    2,782.83x = 4,168.16 × 1,220.74
  4. Step 4: Simplify right side
    2,782.83x = 5,088,239.64
  5. Step 5: Solve for x
    x = 5,088,239.64/2,782.83
  6. Step 6: Final answer
    x = 1,828.44

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