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Finding the Fourth Proportional to 1,664.57, 2,499.64 and 1,598.35

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Solution

The fourth proportional to 1,664.57, 2,499.64 and 1,598.35 is: 2,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.57 : 2,499.64 = 1,598.35 : x
  2. Step 2: Convert to fraction form
    1,664.57/2,499.64 = 1,598.35/x
  3. Step 3: Cross multiply
    1,664.57x = 2,499.64 × 1,598.35
  4. Step 4: Simplify right side
    1,664.57x = 3,995,299.59
  5. Step 5: Solve for x
    x = 3,995,299.59/1,664.57
  6. Step 6: Final answer
    x = 2,400.20

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