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Finding the Fourth Proportional to 1,904.56, 2,855.64 and 1,070.30

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Solution

The fourth proportional to 1,904.56, 2,855.64 and 1,070.30 is: 1,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.56 : 2,855.64 = 1,070.30 : x
  2. Step 2: Convert to fraction form
    1,904.56/2,855.64 = 1,070.30/x
  3. Step 3: Cross multiply
    1,904.56x = 2,855.64 × 1,070.30
  4. Step 4: Simplify right side
    1,904.56x = 3,056,391.49
  5. Step 5: Solve for x
    x = 3,056,391.49/1,904.56
  6. Step 6: Final answer
    x = 1,604.78

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