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Finding the Fourth Proportional to 2,584.79, 3,875.57 and 1,706.36

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Solution

The fourth proportional to 2,584.79, 3,875.57 and 1,706.36 is: 2,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.79 : 3,875.57 = 1,706.36 : x
  2. Step 2: Convert to fraction form
    2,584.79/3,875.57 = 1,706.36/x
  3. Step 3: Cross multiply
    2,584.79x = 3,875.57 × 1,706.36
  4. Step 4: Simplify right side
    2,584.79x = 6,613,109.09
  5. Step 5: Solve for x
    x = 6,613,109.09/2,584.79
  6. Step 6: Final answer
    x = 2,558.47

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