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Finding the Fourth Proportional to 2,596.91, 3,583.80 and 1,418.04

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Solution

The fourth proportional to 2,596.91, 3,583.80 and 1,418.04 is: 1,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.91 : 3,583.80 = 1,418.04 : x
  2. Step 2: Convert to fraction form
    2,596.91/3,583.80 = 1,418.04/x
  3. Step 3: Cross multiply
    2,596.91x = 3,583.80 × 1,418.04
  4. Step 4: Simplify right side
    2,596.91x = 5,081,971.75
  5. Step 5: Solve for x
    x = 5,081,971.75/2,596.91
  6. Step 6: Final answer
    x = 1,956.93

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