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Finding the Fourth Proportional to 1,756.98, 2,629.80 and 1,406.25

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Solution

The fourth proportional to 1,756.98, 2,629.80 and 1,406.25 is: 2,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.98 : 2,629.80 = 1,406.25 : x
  2. Step 2: Convert to fraction form
    1,756.98/2,629.80 = 1,406.25/x
  3. Step 3: Cross multiply
    1,756.98x = 2,629.80 × 1,406.25
  4. Step 4: Simplify right side
    1,756.98x = 3,698,156.25
  5. Step 5: Solve for x
    x = 3,698,156.25/1,756.98
  6. Step 6: Final answer
    x = 2,104.84

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