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Finding the Fourth Proportional to 2,522.45, 3,481.02 and 1,388.12

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Solution

The fourth proportional to 2,522.45, 3,481.02 and 1,388.12 is: 1,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.45 : 3,481.02 = 1,388.12 : x
  2. Step 2: Convert to fraction form
    2,522.45/3,481.02 = 1,388.12/x
  3. Step 3: Cross multiply
    2,522.45x = 3,481.02 × 1,388.12
  4. Step 4: Simplify right side
    2,522.45x = 4,832,056.08
  5. Step 5: Solve for x
    x = 4,832,056.08/2,522.45
  6. Step 6: Final answer
    x = 1,915.62

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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.