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Finding the Fourth Proportional to 4,600.32, 6,898.86 and 1,480.20

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Solution

The fourth proportional to 4,600.32, 6,898.86 and 1,480.20 is: 2,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.32 : 6,898.86 = 1,480.20 : x
  2. Step 2: Convert to fraction form
    4,600.32/6,898.86 = 1,480.20/x
  3. Step 3: Cross multiply
    4,600.32x = 6,898.86 × 1,480.20
  4. Step 4: Simplify right side
    4,600.32x = 10,211,692.57
  5. Step 5: Solve for x
    x = 10,211,692.57/4,600.32
  6. Step 6: Final answer
    x = 2,219.78

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