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Finding the Fourth Proportional to 1,833, 2,522.25 and 1,781.97

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Solution

The fourth proportional to 1,833, 2,522.25 and 1,781.97 is: 2,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833 : 2,522.25 = 1,781.97 : x
  2. Step 2: Convert to fraction form
    1,833/2,522.25 = 1,781.97/x
  3. Step 3: Cross multiply
    1,833x = 2,522.25 × 1,781.97
  4. Step 4: Simplify right side
    1,833x = 4,494,573.83
  5. Step 5: Solve for x
    x = 4,494,573.83/1,833
  6. Step 6: Final answer
    x = 2,452.03

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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.