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Finding the Fourth Proportional to 2,075.56, 3,107.94 and 1,209.40

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Solution

The fourth proportional to 2,075.56, 3,107.94 and 1,209.40 is: 1,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.56 : 3,107.94 = 1,209.40 : x
  2. Step 2: Convert to fraction form
    2,075.56/3,107.94 = 1,209.40/x
  3. Step 3: Cross multiply
    2,075.56x = 3,107.94 × 1,209.40
  4. Step 4: Simplify right side
    2,075.56x = 3,758,742.64
  5. Step 5: Solve for x
    x = 3,758,742.64/2,075.56
  6. Step 6: Final answer
    x = 1,810.95

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