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Finding the Fourth Proportional to 2,742.84, 4,113.30 and 1,182.42

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Solution

The fourth proportional to 2,742.84, 4,113.30 and 1,182.42 is: 1,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.84 : 4,113.30 = 1,182.42 : x
  2. Step 2: Convert to fraction form
    2,742.84/4,113.30 = 1,182.42/x
  3. Step 3: Cross multiply
    2,742.84x = 4,113.30 × 1,182.42
  4. Step 4: Simplify right side
    2,742.84x = 4,863,648.19
  5. Step 5: Solve for x
    x = 4,863,648.19/2,742.84
  6. Step 6: Final answer
    x = 1,773.22

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