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Finding the Fourth Proportional to 1,664.68, 2,498.08 and 1,539.20

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Solution

The fourth proportional to 1,664.68, 2,498.08 and 1,539.20 is: 2,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.68 : 2,498.08 = 1,539.20 : x
  2. Step 2: Convert to fraction form
    1,664.68/2,498.08 = 1,539.20/x
  3. Step 3: Cross multiply
    1,664.68x = 2,498.08 × 1,539.20
  4. Step 4: Simplify right side
    1,664.68x = 3,845,044.74
  5. Step 5: Solve for x
    x = 3,845,044.74/1,664.68
  6. Step 6: Final answer
    x = 2,309.78

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