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Finding the Fourth Proportional to 1,852.80, 2,784.96 and 1,205.76

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Solution

The fourth proportional to 1,852.80, 2,784.96 and 1,205.76 is: 1,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.80 : 2,784.96 = 1,205.76 : x
  2. Step 2: Convert to fraction form
    1,852.80/2,784.96 = 1,205.76/x
  3. Step 3: Cross multiply
    1,852.80x = 2,784.96 × 1,205.76
  4. Step 4: Simplify right side
    1,852.80x = 3,357,993.37
  5. Step 5: Solve for x
    x = 3,357,993.37/1,852.80
  6. Step 6: Final answer
    x = 1,812.39

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