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Finding the Fourth Proportional to 2,663.93, 3,995.91 and 716.13

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Solution

The fourth proportional to 2,663.93, 3,995.91 and 716.13 is: 1,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.93 : 3,995.91 = 716.13 : x
  2. Step 2: Convert to fraction form
    2,663.93/3,995.91 = 716.13/x
  3. Step 3: Cross multiply
    2,663.93x = 3,995.91 × 716.13
  4. Step 4: Simplify right side
    2,663.93x = 2,861,591.03
  5. Step 5: Solve for x
    x = 2,861,591.03/2,663.93
  6. Step 6: Final answer
    x = 1,074.20

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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.