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Finding the Fourth Proportional to 1,628.64, 2,445.12 and 1,265.76

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Solution

The fourth proportional to 1,628.64, 2,445.12 and 1,265.76 is: 1,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.64 : 2,445.12 = 1,265.76 : x
  2. Step 2: Convert to fraction form
    1,628.64/2,445.12 = 1,265.76/x
  3. Step 3: Cross multiply
    1,628.64x = 2,445.12 × 1,265.76
  4. Step 4: Simplify right side
    1,628.64x = 3,094,935.09
  5. Step 5: Solve for x
    x = 3,094,935.09/1,628.64
  6. Step 6: Final answer
    x = 1,900.32

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