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Finding the Fourth Proportional to 1,724.46, 2,589.48 and 1,636.80

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Solution

The fourth proportional to 1,724.46, 2,589.48 and 1,636.80 is: 2,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.46 : 2,589.48 = 1,636.80 : x
  2. Step 2: Convert to fraction form
    1,724.46/2,589.48 = 1,636.80/x
  3. Step 3: Cross multiply
    1,724.46x = 2,589.48 × 1,636.80
  4. Step 4: Simplify right side
    1,724.46x = 4,238,460.86
  5. Step 5: Solve for x
    x = 4,238,460.86/1,724.46
  6. Step 6: Final answer
    x = 2,457.85

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