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Finding the Fourth Proportional to 2,975.92, 4,462.08 and 1,416.40

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Solution

The fourth proportional to 2,975.92, 4,462.08 and 1,416.40 is: 2,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.92 : 4,462.08 = 1,416.40 : x
  2. Step 2: Convert to fraction form
    2,975.92/4,462.08 = 1,416.40/x
  3. Step 3: Cross multiply
    2,975.92x = 4,462.08 × 1,416.40
  4. Step 4: Simplify right side
    2,975.92x = 6,320,090.11
  5. Step 5: Solve for x
    x = 6,320,090.11/2,975.92
  6. Step 6: Final answer
    x = 2,123.74

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