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Finding the Fourth Proportional to 1,822.35, 2,732.13 and 847.74

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Solution

The fourth proportional to 1,822.35, 2,732.13 and 847.74 is: 1,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.35 : 2,732.13 = 847.74 : x
  2. Step 2: Convert to fraction form
    1,822.35/2,732.13 = 847.74/x
  3. Step 3: Cross multiply
    1,822.35x = 2,732.13 × 847.74
  4. Step 4: Simplify right side
    1,822.35x = 2,316,135.89
  5. Step 5: Solve for x
    x = 2,316,135.89/1,822.35
  6. Step 6: Final answer
    x = 1,270.96

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