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Finding the Fourth Proportional to 2,677.85, 3,694.70 and 1,629.17

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Solution

The fourth proportional to 2,677.85, 3,694.70 and 1,629.17 is: 2,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.85 : 3,694.70 = 1,629.17 : x
  2. Step 2: Convert to fraction form
    2,677.85/3,694.70 = 1,629.17/x
  3. Step 3: Cross multiply
    2,677.85x = 3,694.70 × 1,629.17
  4. Step 4: Simplify right side
    2,677.85x = 6,019,280.00
  5. Step 5: Solve for x
    x = 6,019,280.00/2,677.85
  6. Step 6: Final answer
    x = 2,247.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.