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Finding the Fourth Proportional to 2,596.53, 3,583.41 and 1,477.83

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Solution

The fourth proportional to 2,596.53, 3,583.41 and 1,477.83 is: 2,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.53 : 3,583.41 = 1,477.83 : x
  2. Step 2: Convert to fraction form
    2,596.53/3,583.41 = 1,477.83/x
  3. Step 3: Cross multiply
    2,596.53x = 3,583.41 × 1,477.83
  4. Step 4: Simplify right side
    2,596.53x = 5,295,670.80
  5. Step 5: Solve for x
    x = 5,295,670.80/2,596.53
  6. Step 6: Final answer
    x = 2,039.52

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