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Finding the Fourth Proportional to 1,729.22, 2,591.78 and 997.28

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Solution

The fourth proportional to 1,729.22, 2,591.78 and 997.28 is: 1,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.22 : 2,591.78 = 997.28 : x
  2. Step 2: Convert to fraction form
    1,729.22/2,591.78 = 997.28/x
  3. Step 3: Cross multiply
    1,729.22x = 2,591.78 × 997.28
  4. Step 4: Simplify right side
    1,729.22x = 2,584,730.36
  5. Step 5: Solve for x
    x = 2,584,730.36/1,729.22
  6. Step 6: Final answer
    x = 1,494.74

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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.