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Finding the Fourth Proportional to 4,600, 6,900.72 and 1,677.76

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Solution

The fourth proportional to 4,600, 6,900.72 and 1,677.76 is: 2,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600 : 6,900.72 = 1,677.76 : x
  2. Step 2: Convert to fraction form
    4,600/6,900.72 = 1,677.76/x
  3. Step 3: Cross multiply
    4,600x = 6,900.72 × 1,677.76
  4. Step 4: Simplify right side
    4,600x = 11,577,751.99
  5. Step 5: Solve for x
    x = 11,577,751.99/4,600
  6. Step 6: Final answer
    x = 2,516.90

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