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Finding the Fourth Proportional to 2,742.48, 4,108.80 and 1,424.64

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Solution

The fourth proportional to 2,742.48, 4,108.80 and 1,424.64 is: 2,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.48 : 4,108.80 = 1,424.64 : x
  2. Step 2: Convert to fraction form
    2,742.48/4,108.80 = 1,424.64/x
  3. Step 3: Cross multiply
    2,742.48x = 4,108.80 × 1,424.64
  4. Step 4: Simplify right side
    2,742.48x = 5,853,560.83
  5. Step 5: Solve for x
    x = 5,853,560.83/2,742.48
  6. Step 6: Final answer
    x = 2,134.40

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