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Finding the Fourth Proportional to 1,780.14, 2,674.08 and 1,721.82

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Solution

The fourth proportional to 1,780.14, 2,674.08 and 1,721.82 is: 2,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.14 : 2,674.08 = 1,721.82 : x
  2. Step 2: Convert to fraction form
    1,780.14/2,674.08 = 1,721.82/x
  3. Step 3: Cross multiply
    1,780.14x = 2,674.08 × 1,721.82
  4. Step 4: Simplify right side
    1,780.14x = 4,604,284.43
  5. Step 5: Solve for x
    x = 4,604,284.43/1,780.14
  6. Step 6: Final answer
    x = 2,586.47

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