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Finding the Fourth Proportional to 1,825.80, 2,738.64 and 1,461.30

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Solution

The fourth proportional to 1,825.80, 2,738.64 and 1,461.30 is: 2,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.80 : 2,738.64 = 1,461.30 : x
  2. Step 2: Convert to fraction form
    1,825.80/2,738.64 = 1,461.30/x
  3. Step 3: Cross multiply
    1,825.80x = 2,738.64 × 1,461.30
  4. Step 4: Simplify right side
    1,825.80x = 4,001,974.63
  5. Step 5: Solve for x
    x = 4,001,974.63/1,825.80
  6. Step 6: Final answer
    x = 2,191.90

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