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Finding the Fourth Proportional to 1,842.12, 2,760.98 and 1,407.96

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Solution

The fourth proportional to 1,842.12, 2,760.98 and 1,407.96 is: 2,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.12 : 2,760.98 = 1,407.96 : x
  2. Step 2: Convert to fraction form
    1,842.12/2,760.98 = 1,407.96/x
  3. Step 3: Cross multiply
    1,842.12x = 2,760.98 × 1,407.96
  4. Step 4: Simplify right side
    1,842.12x = 3,887,349.40
  5. Step 5: Solve for x
    x = 3,887,349.40/1,842.12
  6. Step 6: Final answer
    x = 2,110.26

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