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Finding the Fourth Proportional to 1,882.40, 2,823.60 and 1,760.90

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Solution

The fourth proportional to 1,882.40, 2,823.60 and 1,760.90 is: 2,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.40 : 2,823.60 = 1,760.90 : x
  2. Step 2: Convert to fraction form
    1,882.40/2,823.60 = 1,760.90/x
  3. Step 3: Cross multiply
    1,882.40x = 2,823.60 × 1,760.90
  4. Step 4: Simplify right side
    1,882.40x = 4,972,077.24
  5. Step 5: Solve for x
    x = 4,972,077.24/1,882.40
  6. Step 6: Final answer
    x = 2,641.35

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