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Finding the Fourth Proportional to 3,116.70, 4,677.78 and 1,731.60

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Solution

The fourth proportional to 3,116.70, 4,677.78 and 1,731.60 is: 2,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.70 : 4,677.78 = 1,731.60 : x
  2. Step 2: Convert to fraction form
    3,116.70/4,677.78 = 1,731.60/x
  3. Step 3: Cross multiply
    3,116.70x = 4,677.78 × 1,731.60
  4. Step 4: Simplify right side
    3,116.70x = 8,100,050.34
  5. Step 5: Solve for x
    x = 8,100,050.34/3,116.70
  6. Step 6: Final answer
    x = 2,598.92

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