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Finding the Fourth Proportional to 4,378.78, 6,566.86 and 1,604.80

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Solution

The fourth proportional to 4,378.78, 6,566.86 and 1,604.80 is: 2,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.78 : 6,566.86 = 1,604.80 : x
  2. Step 2: Convert to fraction form
    4,378.78/6,566.86 = 1,604.80/x
  3. Step 3: Cross multiply
    4,378.78x = 6,566.86 × 1,604.80
  4. Step 4: Simplify right side
    4,378.78x = 10,538,496.93
  5. Step 5: Solve for x
    x = 10,538,496.93/4,378.78
  6. Step 6: Final answer
    x = 2,406.72

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