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Finding the Fourth Proportional to 1,648.13, 2,472.60 and 1,162.13

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Solution

The fourth proportional to 1,648.13, 2,472.60 and 1,162.13 is: 1,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.13 : 2,472.60 = 1,162.13 : x
  2. Step 2: Convert to fraction form
    1,648.13/2,472.60 = 1,162.13/x
  3. Step 3: Cross multiply
    1,648.13x = 2,472.60 × 1,162.13
  4. Step 4: Simplify right side
    1,648.13x = 2,873,482.64
  5. Step 5: Solve for x
    x = 2,873,482.64/1,648.13
  6. Step 6: Final answer
    x = 1,743.48

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