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Finding the Fourth Proportional to 2,110.81, 2,912.92 and 1,179.31

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Solution

The fourth proportional to 2,110.81, 2,912.92 and 1,179.31 is: 1,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.81 : 2,912.92 = 1,179.31 : x
  2. Step 2: Convert to fraction form
    2,110.81/2,912.92 = 1,179.31/x
  3. Step 3: Cross multiply
    2,110.81x = 2,912.92 × 1,179.31
  4. Step 4: Simplify right side
    2,110.81x = 3,435,235.69
  5. Step 5: Solve for x
    x = 3,435,235.69/2,110.81
  6. Step 6: Final answer
    x = 1,627.45

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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.