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Finding the Fourth Proportional to 2,110.98, 2,912.99 and 1,166.79

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Solution

The fourth proportional to 2,110.98, 2,912.99 and 1,166.79 is: 1,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.98 : 2,912.99 = 1,166.79 : x
  2. Step 2: Convert to fraction form
    2,110.98/2,912.99 = 1,166.79/x
  3. Step 3: Cross multiply
    2,110.98x = 2,912.99 × 1,166.79
  4. Step 4: Simplify right side
    2,110.98x = 3,398,847.60
  5. Step 5: Solve for x
    x = 3,398,847.60/2,110.98
  6. Step 6: Final answer
    x = 1,610.08

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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.