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Finding the Fourth Proportional to 4,978.90, 7,469.43 and 1,646.98

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Solution

The fourth proportional to 4,978.90, 7,469.43 and 1,646.98 is: 2,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.90 : 7,469.43 = 1,646.98 : x
  2. Step 2: Convert to fraction form
    4,978.90/7,469.43 = 1,646.98/x
  3. Step 3: Cross multiply
    4,978.90x = 7,469.43 × 1,646.98
  4. Step 4: Simplify right side
    4,978.90x = 12,302,028.25
  5. Step 5: Solve for x
    x = 12,302,028.25/4,978.90
  6. Step 6: Final answer
    x = 2,470.83

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