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Finding the Fourth Proportional to 2,663.97, 3,996.18 and 716.28

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Solution

The fourth proportional to 2,663.97, 3,996.18 and 716.28 is: 1,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.97 : 3,996.18 = 716.28 : x
  2. Step 2: Convert to fraction form
    2,663.97/3,996.18 = 716.28/x
  3. Step 3: Cross multiply
    2,663.97x = 3,996.18 × 716.28
  4. Step 4: Simplify right side
    2,663.97x = 2,862,383.81
  5. Step 5: Solve for x
    x = 2,862,383.81/2,663.97
  6. Step 6: Final answer
    x = 1,074.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.