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Finding the Fourth Proportional to 2,528.64, 3,788.10 and 1,429.74

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Solution

The fourth proportional to 2,528.64, 3,788.10 and 1,429.74 is: 2,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.64 : 3,788.10 = 1,429.74 : x
  2. Step 2: Convert to fraction form
    2,528.64/3,788.10 = 1,429.74/x
  3. Step 3: Cross multiply
    2,528.64x = 3,788.10 × 1,429.74
  4. Step 4: Simplify right side
    2,528.64x = 5,415,998.09
  5. Step 5: Solve for x
    x = 5,415,998.09/2,528.64
  6. Step 6: Final answer
    x = 2,141.86

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