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Finding the Fourth Proportional to 2,969.57, 4,456.34 and 1,583.86

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Solution

The fourth proportional to 2,969.57, 4,456.34 and 1,583.86 is: 2,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.57 : 4,456.34 = 1,583.86 : x
  2. Step 2: Convert to fraction form
    2,969.57/4,456.34 = 1,583.86/x
  3. Step 3: Cross multiply
    2,969.57x = 4,456.34 × 1,583.86
  4. Step 4: Simplify right side
    2,969.57x = 7,058,218.67
  5. Step 5: Solve for x
    x = 7,058,218.67/2,969.57
  6. Step 6: Final answer
    x = 2,376.85

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