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Finding the Fourth Proportional to 1,642.76, 2,456.94 and 1,429.64

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Solution

The fourth proportional to 1,642.76, 2,456.94 and 1,429.64 is: 2,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.76 : 2,456.94 = 1,429.64 : x
  2. Step 2: Convert to fraction form
    1,642.76/2,456.94 = 1,429.64/x
  3. Step 3: Cross multiply
    1,642.76x = 2,456.94 × 1,429.64
  4. Step 4: Simplify right side
    1,642.76x = 3,512,539.70
  5. Step 5: Solve for x
    x = 3,512,539.70/1,642.76
  6. Step 6: Final answer
    x = 2,138.19

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