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Finding the Fourth Proportional to 1,691.15, 2,538.05 and 1,106.00

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Solution

The fourth proportional to 1,691.15, 2,538.05 and 1,106.00 is: 1,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.15 : 2,538.05 = 1,106.00 : x
  2. Step 2: Convert to fraction form
    1,691.15/2,538.05 = 1,106.00/x
  3. Step 3: Cross multiply
    1,691.15x = 2,538.05 × 1,106.00
  4. Step 4: Simplify right side
    1,691.15x = 2,807,065.08
  5. Step 5: Solve for x
    x = 2,807,065.08/1,691.15
  6. Step 6: Final answer
    x = 1,659.85

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