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Finding the Fourth Proportional to 2,648.55, 3,975.39 and 1,416.81

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Solution

The fourth proportional to 2,648.55, 3,975.39 and 1,416.81 is: 2,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.55 : 3,975.39 = 1,416.81 : x
  2. Step 2: Convert to fraction form
    2,648.55/3,975.39 = 1,416.81/x
  3. Step 3: Cross multiply
    2,648.55x = 3,975.39 × 1,416.81
  4. Step 4: Simplify right side
    2,648.55x = 5,632,372.31
  5. Step 5: Solve for x
    x = 5,632,372.31/2,648.55
  6. Step 6: Final answer
    x = 2,126.59

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