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Finding the Fourth Proportional to 1,539.64, 2,309.82 and 1,052.92

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Solution

The fourth proportional to 1,539.64, 2,309.82 and 1,052.92 is: 1,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.64 : 2,309.82 = 1,052.92 : x
  2. Step 2: Convert to fraction form
    1,539.64/2,309.82 = 1,052.92/x
  3. Step 3: Cross multiply
    1,539.64x = 2,309.82 × 1,052.92
  4. Step 4: Simplify right side
    1,539.64x = 2,432,055.67
  5. Step 5: Solve for x
    x = 2,432,055.67/1,539.64
  6. Step 6: Final answer
    x = 1,579.63

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