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Finding the Fourth Proportional to 2,742.69, 4,114.05 and 1,098.78

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Solution

The fourth proportional to 2,742.69, 4,114.05 and 1,098.78 is: 1,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.69 : 4,114.05 = 1,098.78 : x
  2. Step 2: Convert to fraction form
    2,742.69/4,114.05 = 1,098.78/x
  3. Step 3: Cross multiply
    2,742.69x = 4,114.05 × 1,098.78
  4. Step 4: Simplify right side
    2,742.69x = 4,520,435.86
  5. Step 5: Solve for x
    x = 4,520,435.86/2,742.69
  6. Step 6: Final answer
    x = 1,648.18

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