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Finding the Fourth Proportional to 1,311.72, 1,965.15 and 1,005.54

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Solution

The fourth proportional to 1,311.72, 1,965.15 and 1,005.54 is: 1,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.72 : 1,965.15 = 1,005.54 : x
  2. Step 2: Convert to fraction form
    1,311.72/1,965.15 = 1,005.54/x
  3. Step 3: Cross multiply
    1,311.72x = 1,965.15 × 1,005.54
  4. Step 4: Simplify right side
    1,311.72x = 1,976,036.93
  5. Step 5: Solve for x
    x = 1,976,036.93/1,311.72
  6. Step 6: Final answer
    x = 1,506.45

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