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Finding the Fourth Proportional to 1,573.81, 2,357.64 and 1,206.81

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Solution

The fourth proportional to 1,573.81, 2,357.64 and 1,206.81 is: 1,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.81 : 2,357.64 = 1,206.81 : x
  2. Step 2: Convert to fraction form
    1,573.81/2,357.64 = 1,206.81/x
  3. Step 3: Cross multiply
    1,573.81x = 2,357.64 × 1,206.81
  4. Step 4: Simplify right side
    1,573.81x = 2,845,216.90
  5. Step 5: Solve for x
    x = 2,845,216.90/1,573.81
  6. Step 6: Final answer
    x = 1,807.85

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