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Finding the Fourth Proportional to 1,728.81, 2,594.53 and 1,267.76

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Solution

The fourth proportional to 1,728.81, 2,594.53 and 1,267.76 is: 1,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.81 : 2,594.53 = 1,267.76 : x
  2. Step 2: Convert to fraction form
    1,728.81/2,594.53 = 1,267.76/x
  3. Step 3: Cross multiply
    1,728.81x = 2,594.53 × 1,267.76
  4. Step 4: Simplify right side
    1,728.81x = 3,289,241.35
  5. Step 5: Solve for x
    x = 3,289,241.35/1,728.81
  6. Step 6: Final answer
    x = 1,902.60

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