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Finding the Fourth Proportional to 2,054.62, 3,075.99 and 1,823.05

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Solution

The fourth proportional to 2,054.62, 3,075.99 and 1,823.05 is: 2,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.62 : 3,075.99 = 1,823.05 : x
  2. Step 2: Convert to fraction form
    2,054.62/3,075.99 = 1,823.05/x
  3. Step 3: Cross multiply
    2,054.62x = 3,075.99 × 1,823.05
  4. Step 4: Simplify right side
    2,054.62x = 5,607,683.57
  5. Step 5: Solve for x
    x = 5,607,683.57/2,054.62
  6. Step 6: Final answer
    x = 2,729.30

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