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Finding the Fourth Proportional to 1,900.87, 2,842.76 and 1,456.25

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Solution

The fourth proportional to 1,900.87, 2,842.76 and 1,456.25 is: 2,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.87 : 2,842.76 = 1,456.25 : x
  2. Step 2: Convert to fraction form
    1,900.87/2,842.76 = 1,456.25/x
  3. Step 3: Cross multiply
    1,900.87x = 2,842.76 × 1,456.25
  4. Step 4: Simplify right side
    1,900.87x = 4,139,758.68
  5. Step 5: Solve for x
    x = 4,139,758.68/1,900.87
  6. Step 6: Final answer
    x = 2,177.83

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