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Finding the Fourth Proportional to 1,724.40, 2,583.84 and 1,678.84

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Solution

The fourth proportional to 1,724.40, 2,583.84 and 1,678.84 is: 2,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.40 : 2,583.84 = 1,678.84 : x
  2. Step 2: Convert to fraction form
    1,724.40/2,583.84 = 1,678.84/x
  3. Step 3: Cross multiply
    1,724.40x = 2,583.84 × 1,678.84
  4. Step 4: Simplify right side
    1,724.40x = 4,337,853.95
  5. Step 5: Solve for x
    x = 4,337,853.95/1,724.40
  6. Step 6: Final answer
    x = 2,515.57

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