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Finding the Fourth Proportional to 1,582.89, 2,372.77 and 1,362.75

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Solution

The fourth proportional to 1,582.89, 2,372.77 and 1,362.75 is: 2,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.89 : 2,372.77 = 1,362.75 : x
  2. Step 2: Convert to fraction form
    1,582.89/2,372.77 = 1,362.75/x
  3. Step 3: Cross multiply
    1,582.89x = 2,372.77 × 1,362.75
  4. Step 4: Simplify right side
    1,582.89x = 3,233,492.32
  5. Step 5: Solve for x
    x = 3,233,492.32/1,582.89
  6. Step 6: Final answer
    x = 2,042.78

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