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Finding the Fourth Proportional to 2,135.84, 3,203.76 and 1,162.40

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Solution

The fourth proportional to 2,135.84, 3,203.76 and 1,162.40 is: 1,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.84 : 3,203.76 = 1,162.40 : x
  2. Step 2: Convert to fraction form
    2,135.84/3,203.76 = 1,162.40/x
  3. Step 3: Cross multiply
    2,135.84x = 3,203.76 × 1,162.40
  4. Step 4: Simplify right side
    2,135.84x = 3,724,050.62
  5. Step 5: Solve for x
    x = 3,724,050.62/2,135.84
  6. Step 6: Final answer
    x = 1,743.60

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