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Finding the Fourth Proportional to 2,583.73, 3,875.53 and 734.84

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Solution

The fourth proportional to 2,583.73, 3,875.53 and 734.84 is: 1,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.73 : 3,875.53 = 734.84 : x
  2. Step 2: Convert to fraction form
    2,583.73/3,875.53 = 734.84/x
  3. Step 3: Cross multiply
    2,583.73x = 3,875.53 × 734.84
  4. Step 4: Simplify right side
    2,583.73x = 2,847,894.47
  5. Step 5: Solve for x
    x = 2,847,894.47/2,583.73
  6. Step 6: Final answer
    x = 1,102.24

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