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Finding the Fourth Proportional to 1,582.82, 2,372.79 and 716.78

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Solution

The fourth proportional to 1,582.82, 2,372.79 and 716.78 is: 1,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.82 : 2,372.79 = 716.78 : x
  2. Step 2: Convert to fraction form
    1,582.82/2,372.79 = 716.78/x
  3. Step 3: Cross multiply
    1,582.82x = 2,372.79 × 716.78
  4. Step 4: Simplify right side
    1,582.82x = 1,700,768.42
  5. Step 5: Solve for x
    x = 1,700,768.42/1,582.82
  6. Step 6: Final answer
    x = 1,074.52

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