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Finding the Fourth Proportional to 2,497.88, 3,743.16 and 1,110.80

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Solution

The fourth proportional to 2,497.88, 3,743.16 and 1,110.80 is: 1,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.88 : 3,743.16 = 1,110.80 : x
  2. Step 2: Convert to fraction form
    2,497.88/3,743.16 = 1,110.80/x
  3. Step 3: Cross multiply
    2,497.88x = 3,743.16 × 1,110.80
  4. Step 4: Simplify right side
    2,497.88x = 4,157,902.13
  5. Step 5: Solve for x
    x = 4,157,902.13/2,497.88
  6. Step 6: Final answer
    x = 1,664.57

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