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Finding the Fourth Proportional to 2,976.09, 4,462.81 and 1,416.54

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Solution

The fourth proportional to 2,976.09, 4,462.81 and 1,416.54 is: 2,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.09 : 4,462.81 = 1,416.54 : x
  2. Step 2: Convert to fraction form
    2,976.09/4,462.81 = 1,416.54/x
  3. Step 3: Cross multiply
    2,976.09x = 4,462.81 × 1,416.54
  4. Step 4: Simplify right side
    2,976.09x = 6,321,748.88
  5. Step 5: Solve for x
    x = 6,321,748.88/2,976.09
  6. Step 6: Final answer
    x = 2,124.18

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