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Finding the Fourth Proportional to 2,498.64, 3,742.69 and 1,387.99

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Solution

The fourth proportional to 2,498.64, 3,742.69 and 1,387.99 is: 2,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.64 : 3,742.69 = 1,387.99 : x
  2. Step 2: Convert to fraction form
    2,498.64/3,742.69 = 1,387.99/x
  3. Step 3: Cross multiply
    2,498.64x = 3,742.69 × 1,387.99
  4. Step 4: Simplify right side
    2,498.64x = 5,194,816.29
  5. Step 5: Solve for x
    x = 5,194,816.29/2,498.64
  6. Step 6: Final answer
    x = 2,079.06

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