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Finding the Fourth Proportional to 3,160.80, 4,742.16 and 1,429.44

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Solution

The fourth proportional to 3,160.80, 4,742.16 and 1,429.44 is: 2,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.80 : 4,742.16 = 1,429.44 : x
  2. Step 2: Convert to fraction form
    3,160.80/4,742.16 = 1,429.44/x
  3. Step 3: Cross multiply
    3,160.80x = 4,742.16 × 1,429.44
  4. Step 4: Simplify right side
    3,160.80x = 6,778,633.19
  5. Step 5: Solve for x
    x = 6,778,633.19/3,160.80
  6. Step 6: Final answer
    x = 2,144.59

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