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Finding the Fourth Proportional to 1,601.74, 2,399.64 and 1,430.20

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Solution

The fourth proportional to 1,601.74, 2,399.64 and 1,430.20 is: 2,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.74 : 2,399.64 = 1,430.20 : x
  2. Step 2: Convert to fraction form
    1,601.74/2,399.64 = 1,430.20/x
  3. Step 3: Cross multiply
    1,601.74x = 2,399.64 × 1,430.20
  4. Step 4: Simplify right side
    1,601.74x = 3,431,965.13
  5. Step 5: Solve for x
    x = 3,431,965.13/1,601.74
  6. Step 6: Final answer
    x = 2,142.65

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