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Finding the Fourth Proportional to 2,549.76, 3,515.84 and 1,664.04

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Solution

The fourth proportional to 2,549.76, 3,515.84 and 1,664.04 is: 2,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.76 : 3,515.84 = 1,664.04 : x
  2. Step 2: Convert to fraction form
    2,549.76/3,515.84 = 1,664.04/x
  3. Step 3: Cross multiply
    2,549.76x = 3,515.84 × 1,664.04
  4. Step 4: Simplify right side
    2,549.76x = 5,850,498.39
  5. Step 5: Solve for x
    x = 5,850,498.39/2,549.76
  6. Step 6: Final answer
    x = 2,294.53

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