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Finding the Fourth Proportional to 2,663.64, 3,995.94 and 814.71

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Solution

The fourth proportional to 2,663.64, 3,995.94 and 814.71 is: 1,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.64 : 3,995.94 = 814.71 : x
  2. Step 2: Convert to fraction form
    2,663.64/3,995.94 = 814.71/x
  3. Step 3: Cross multiply
    2,663.64x = 3,995.94 × 814.71
  4. Step 4: Simplify right side
    2,663.64x = 3,255,532.28
  5. Step 5: Solve for x
    x = 3,255,532.28/2,663.64
  6. Step 6: Final answer
    x = 1,222.21

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