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Finding the Fourth Proportional to 1,859.64, 2,784.90 and 1,309.25

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Solution

The fourth proportional to 1,859.64, 2,784.90 and 1,309.25 is: 1,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.64 : 2,784.90 = 1,309.25 : x
  2. Step 2: Convert to fraction form
    1,859.64/2,784.90 = 1,309.25/x
  3. Step 3: Cross multiply
    1,859.64x = 2,784.90 × 1,309.25
  4. Step 4: Simplify right side
    1,859.64x = 3,646,116.40
  5. Step 5: Solve for x
    x = 3,646,116.40/1,859.64
  6. Step 6: Final answer
    x = 1,960.66

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