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Finding the Fourth Proportional to 3,200.76, 4,416.90 and 1,784.60

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Solution

The fourth proportional to 3,200.76, 4,416.90 and 1,784.60 is: 2,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.76 : 4,416.90 = 1,784.60 : x
  2. Step 2: Convert to fraction form
    3,200.76/4,416.90 = 1,784.60/x
  3. Step 3: Cross multiply
    3,200.76x = 4,416.90 × 1,784.60
  4. Step 4: Simplify right side
    3,200.76x = 7,882,415.24
  5. Step 5: Solve for x
    x = 7,882,415.24/3,200.76
  6. Step 6: Final answer
    x = 2,462.67

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