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Finding the Fourth Proportional to 1,640.90, 2,466.15 and 1,429.70

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Solution

The fourth proportional to 1,640.90, 2,466.15 and 1,429.70 is: 2,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.90 : 2,466.15 = 1,429.70 : x
  2. Step 2: Convert to fraction form
    1,640.90/2,466.15 = 1,429.70/x
  3. Step 3: Cross multiply
    1,640.90x = 2,466.15 × 1,429.70
  4. Step 4: Simplify right side
    1,640.90x = 3,525,854.66
  5. Step 5: Solve for x
    x = 3,525,854.66/1,640.90
  6. Step 6: Final answer
    x = 2,148.73

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