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Finding the Fourth Proportional to 3,742.40, 5,614.80 and 1,661.60

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Solution

The fourth proportional to 3,742.40, 5,614.80 and 1,661.60 is: 2,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.40 : 5,614.80 = 1,661.60 : x
  2. Step 2: Convert to fraction form
    3,742.40/5,614.80 = 1,661.60/x
  3. Step 3: Cross multiply
    3,742.40x = 5,614.80 × 1,661.60
  4. Step 4: Simplify right side
    3,742.40x = 9,329,551.68
  5. Step 5: Solve for x
    x = 9,329,551.68/3,742.40
  6. Step 6: Final answer
    x = 2,492.93

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