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Finding the Fourth Proportional to 1,706.32, 2,557.77 and 1,090.72

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Solution

The fourth proportional to 1,706.32, 2,557.77 and 1,090.72 is: 1,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.32 : 2,557.77 = 1,090.72 : x
  2. Step 2: Convert to fraction form
    1,706.32/2,557.77 = 1,090.72/x
  3. Step 3: Cross multiply
    1,706.32x = 2,557.77 × 1,090.72
  4. Step 4: Simplify right side
    1,706.32x = 2,789,810.89
  5. Step 5: Solve for x
    x = 2,789,810.89/1,706.32
  6. Step 6: Final answer
    x = 1,634.99

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