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Finding the Fourth Proportional to 2,598.62, 3,583.05 and 1,665.50

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Solution

The fourth proportional to 2,598.62, 3,583.05 and 1,665.50 is: 2,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.62 : 3,583.05 = 1,665.50 : x
  2. Step 2: Convert to fraction form
    2,598.62/3,583.05 = 1,665.50/x
  3. Step 3: Cross multiply
    2,598.62x = 3,583.05 × 1,665.50
  4. Step 4: Simplify right side
    2,598.62x = 5,967,569.78
  5. Step 5: Solve for x
    x = 5,967,569.78/2,598.62
  6. Step 6: Final answer
    x = 2,296.44

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