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Finding the Fourth Proportional to 2,406.67, 3,608.44 and 1,582.44

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Solution

The fourth proportional to 2,406.67, 3,608.44 and 1,582.44 is: 2,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.67 : 3,608.44 = 1,582.44 : x
  2. Step 2: Convert to fraction form
    2,406.67/3,608.44 = 1,582.44/x
  3. Step 3: Cross multiply
    2,406.67x = 3,608.44 × 1,582.44
  4. Step 4: Simplify right side
    2,406.67x = 5,710,139.79
  5. Step 5: Solve for x
    x = 5,710,139.79/2,406.67
  6. Step 6: Final answer
    x = 2,372.63

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