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Finding the Fourth Proportional to 2,110.97, 2,911.48 and 1,969.50

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Solution

The fourth proportional to 2,110.97, 2,911.48 and 1,969.50 is: 2,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.97 : 2,911.48 = 1,969.50 : x
  2. Step 2: Convert to fraction form
    2,110.97/2,911.48 = 1,969.50/x
  3. Step 3: Cross multiply
    2,110.97x = 2,911.48 × 1,969.50
  4. Step 4: Simplify right side
    2,110.97x = 5,734,150.01
  5. Step 5: Solve for x
    x = 5,734,150.01/2,110.97
  6. Step 6: Final answer
    x = 2,716.36

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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.