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Finding the Fourth Proportional to 2,611.52, 3,918.72 and 1,457.92

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Solution

The fourth proportional to 2,611.52, 3,918.72 and 1,457.92 is: 2,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.52 : 3,918.72 = 1,457.92 : x
  2. Step 2: Convert to fraction form
    2,611.52/3,918.72 = 1,457.92/x
  3. Step 3: Cross multiply
    2,611.52x = 3,918.72 × 1,457.92
  4. Step 4: Simplify right side
    2,611.52x = 5,713,180.26
  5. Step 5: Solve for x
    x = 5,713,180.26/2,611.52
  6. Step 6: Final answer
    x = 2,187.68

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