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Finding the Fourth Proportional to 1,321.59, 1,984.41 and 1,075.77

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Solution

The fourth proportional to 1,321.59, 1,984.41 and 1,075.77 is: 1,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.59 : 1,984.41 = 1,075.77 : x
  2. Step 2: Convert to fraction form
    1,321.59/1,984.41 = 1,075.77/x
  3. Step 3: Cross multiply
    1,321.59x = 1,984.41 × 1,075.77
  4. Step 4: Simplify right side
    1,321.59x = 2,134,768.75
  5. Step 5: Solve for x
    x = 2,134,768.75/1,321.59
  6. Step 6: Final answer
    x = 1,615.30

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