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Finding the Fourth Proportional to 1,766.82, 2,438.40 and 1,346.40

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Solution

The fourth proportional to 1,766.82, 2,438.40 and 1,346.40 is: 1,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.82 : 2,438.40 = 1,346.40 : x
  2. Step 2: Convert to fraction form
    1,766.82/2,438.40 = 1,346.40/x
  3. Step 3: Cross multiply
    1,766.82x = 2,438.40 × 1,346.40
  4. Step 4: Simplify right side
    1,766.82x = 3,283,061.76
  5. Step 5: Solve for x
    x = 3,283,061.76/1,766.82
  6. Step 6: Final answer
    x = 1,858.18

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