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Finding the Fourth Proportional to 1,724.84, 2,380.80 and 1,636.66

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Solution

The fourth proportional to 1,724.84, 2,380.80 and 1,636.66 is: 2,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.84 : 2,380.80 = 1,636.66 : x
  2. Step 2: Convert to fraction form
    1,724.84/2,380.80 = 1,636.66/x
  3. Step 3: Cross multiply
    1,724.84x = 2,380.80 × 1,636.66
  4. Step 4: Simplify right side
    1,724.84x = 3,896,560.13
  5. Step 5: Solve for x
    x = 3,896,560.13/1,724.84
  6. Step 6: Final answer
    x = 2,259.08

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