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Finding the Fourth Proportional to 1,522.26, 2,100.87 and 997.38

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Solution

The fourth proportional to 1,522.26, 2,100.87 and 997.38 is: 1,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.26 : 2,100.87 = 997.38 : x
  2. Step 2: Convert to fraction form
    1,522.26/2,100.87 = 997.38/x
  3. Step 3: Cross multiply
    1,522.26x = 2,100.87 × 997.38
  4. Step 4: Simplify right side
    1,522.26x = 2,095,365.72
  5. Step 5: Solve for x
    x = 2,095,365.72/1,522.26
  6. Step 6: Final answer
    x = 1,376.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.