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Finding the Fourth Proportional to 2,496.89, 3,741.66 and 2,314.64

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Solution

The fourth proportional to 2,496.89, 3,741.66 and 2,314.64 is: 3,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.89 : 3,741.66 = 2,314.64 : x
  2. Step 2: Convert to fraction form
    2,496.89/3,741.66 = 2,314.64/x
  3. Step 3: Cross multiply
    2,496.89x = 3,741.66 × 2,314.64
  4. Step 4: Simplify right side
    2,496.89x = 8,660,577.19
  5. Step 5: Solve for x
    x = 8,660,577.19/2,496.89
  6. Step 6: Final answer
    x = 3,468.55

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