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Finding the Fourth Proportional to 1,902.43, 2,852.25 and 1,284.61

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Solution

The fourth proportional to 1,902.43, 2,852.25 and 1,284.61 is: 1,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.43 : 2,852.25 = 1,284.61 : x
  2. Step 2: Convert to fraction form
    1,902.43/2,852.25 = 1,284.61/x
  3. Step 3: Cross multiply
    1,902.43x = 2,852.25 × 1,284.61
  4. Step 4: Simplify right side
    1,902.43x = 3,664,028.87
  5. Step 5: Solve for x
    x = 3,664,028.87/1,902.43
  6. Step 6: Final answer
    x = 1,925.97

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