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Finding the Fourth Proportional to 1,583.82, 2,374.52 and 967.82

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Solution

The fourth proportional to 1,583.82, 2,374.52 and 967.82 is: 1,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.82 : 2,374.52 = 967.82 : x
  2. Step 2: Convert to fraction form
    1,583.82/2,374.52 = 967.82/x
  3. Step 3: Cross multiply
    1,583.82x = 2,374.52 × 967.82
  4. Step 4: Simplify right side
    1,583.82x = 2,298,091.23
  5. Step 5: Solve for x
    x = 2,298,091.23/1,583.82
  6. Step 6: Final answer
    x = 1,450.98

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