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Finding the Fourth Proportional to 1,723.92, 2,582.52 and 942.72

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Solution

The fourth proportional to 1,723.92, 2,582.52 and 942.72 is: 1,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.92 : 2,582.52 = 942.72 : x
  2. Step 2: Convert to fraction form
    1,723.92/2,582.52 = 942.72/x
  3. Step 3: Cross multiply
    1,723.92x = 2,582.52 × 942.72
  4. Step 4: Simplify right side
    1,723.92x = 2,434,593.25
  5. Step 5: Solve for x
    x = 2,434,593.25/1,723.92
  6. Step 6: Final answer
    x = 1,412.24

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