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Finding the Fourth Proportional to 2,600.69, 3,898.34 and 1,664.30

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Solution

The fourth proportional to 2,600.69, 3,898.34 and 1,664.30 is: 2,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.69 : 3,898.34 = 1,664.30 : x
  2. Step 2: Convert to fraction form
    2,600.69/3,898.34 = 1,664.30/x
  3. Step 3: Cross multiply
    2,600.69x = 3,898.34 × 1,664.30
  4. Step 4: Simplify right side
    2,600.69x = 6,487,994.07
  5. Step 5: Solve for x
    x = 6,487,994.07/2,600.69
  6. Step 6: Final answer
    x = 2,494.72

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