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Finding the Fourth Proportional to 2,151.97, 2,969.96 and 1,267.75

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Solution

The fourth proportional to 2,151.97, 2,969.96 and 1,267.75 is: 1,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.97 : 2,969.96 = 1,267.75 : x
  2. Step 2: Convert to fraction form
    2,151.97/2,969.96 = 1,267.75/x
  3. Step 3: Cross multiply
    2,151.97x = 2,969.96 × 1,267.75
  4. Step 4: Simplify right side
    2,151.97x = 3,765,166.79
  5. Step 5: Solve for x
    x = 3,765,166.79/2,151.97
  6. Step 6: Final answer
    x = 1,749.64

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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.