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Finding the Fourth Proportional to 1,581.41, 2,369.77 and 1,408.41

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Solution

The fourth proportional to 1,581.41, 2,369.77 and 1,408.41 is: 2,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.41 : 2,369.77 = 1,408.41 : x
  2. Step 2: Convert to fraction form
    1,581.41/2,369.77 = 1,408.41/x
  3. Step 3: Cross multiply
    1,581.41x = 2,369.77 × 1,408.41
  4. Step 4: Simplify right side
    1,581.41x = 3,337,607.77
  5. Step 5: Solve for x
    x = 3,337,607.77/1,581.41
  6. Step 6: Final answer
    x = 2,110.53

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