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Finding the Fourth Proportional to 1,820.26, 2,731.02 and 997.48

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Solution

The fourth proportional to 1,820.26, 2,731.02 and 997.48 is: 1,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.26 : 2,731.02 = 997.48 : x
  2. Step 2: Convert to fraction form
    1,820.26/2,731.02 = 997.48/x
  3. Step 3: Cross multiply
    1,820.26x = 2,731.02 × 997.48
  4. Step 4: Simplify right side
    1,820.26x = 2,724,137.83
  5. Step 5: Solve for x
    x = 2,724,137.83/1,820.26
  6. Step 6: Final answer
    x = 1,496.57

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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.