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Finding the Fourth Proportional to 1,382.63, 2,075.30 and 1,077.80

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Solution

The fourth proportional to 1,382.63, 2,075.30 and 1,077.80 is: 1,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.63 : 2,075.30 = 1,077.80 : x
  2. Step 2: Convert to fraction form
    1,382.63/2,075.30 = 1,077.80/x
  3. Step 3: Cross multiply
    1,382.63x = 2,075.30 × 1,077.80
  4. Step 4: Simplify right side
    1,382.63x = 2,236,752.95
  5. Step 5: Solve for x
    x = 2,236,752.95/1,382.63
  6. Step 6: Final answer
    x = 1,617.75

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