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Finding the Fourth Proportional to 2,522.25, 3,481.19 and 1,418.25

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Solution

The fourth proportional to 2,522.25, 3,481.19 and 1,418.25 is: 1,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.25 : 3,481.19 = 1,418.25 : x
  2. Step 2: Convert to fraction form
    2,522.25/3,481.19 = 1,418.25/x
  3. Step 3: Cross multiply
    2,522.25x = 3,481.19 × 1,418.25
  4. Step 4: Simplify right side
    2,522.25x = 4,937,190.63
  5. Step 5: Solve for x
    x = 4,937,190.63/2,522.25
  6. Step 6: Final answer
    x = 1,957.45

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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.