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Finding the Fourth Proportional to 2,588.72, 3,880.32 and 1,764.95

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Solution

The fourth proportional to 2,588.72, 3,880.32 and 1,764.95 is: 2,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.72 : 3,880.32 = 1,764.95 : x
  2. Step 2: Convert to fraction form
    2,588.72/3,880.32 = 1,764.95/x
  3. Step 3: Cross multiply
    2,588.72x = 3,880.32 × 1,764.95
  4. Step 4: Simplify right side
    2,588.72x = 6,848,551.38
  5. Step 5: Solve for x
    x = 6,848,551.38/2,588.72
  6. Step 6: Final answer
    x = 2,645.54

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