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Finding the Fourth Proportional to 2,492.76, 3,739.71 and 1,106.49

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Solution

The fourth proportional to 2,492.76, 3,739.71 and 1,106.49 is: 1,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.76 : 3,739.71 = 1,106.49 : x
  2. Step 2: Convert to fraction form
    2,492.76/3,739.71 = 1,106.49/x
  3. Step 3: Cross multiply
    2,492.76x = 3,739.71 × 1,106.49
  4. Step 4: Simplify right side
    2,492.76x = 4,137,951.72
  5. Step 5: Solve for x
    x = 4,137,951.72/2,492.76
  6. Step 6: Final answer
    x = 1,659.99

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