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Finding the Fourth Proportional to 1,953.80, 2,698.32 and 1,584.44

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Solution

The fourth proportional to 1,953.80, 2,698.32 and 1,584.44 is: 2,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.80 : 2,698.32 = 1,584.44 : x
  2. Step 2: Convert to fraction form
    1,953.80/2,698.32 = 1,584.44/x
  3. Step 3: Cross multiply
    1,953.80x = 2,698.32 × 1,584.44
  4. Step 4: Simplify right side
    1,953.80x = 4,275,326.14
  5. Step 5: Solve for x
    x = 4,275,326.14/1,953.80
  6. Step 6: Final answer
    x = 2,188.21

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