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Finding the Fourth Proportional to 2,522.12, 3,786.02 and 1,062.50

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Solution

The fourth proportional to 2,522.12, 3,786.02 and 1,062.50 is: 1,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.12 : 3,786.02 = 1,062.50 : x
  2. Step 2: Convert to fraction form
    2,522.12/3,786.02 = 1,062.50/x
  3. Step 3: Cross multiply
    2,522.12x = 3,786.02 × 1,062.50
  4. Step 4: Simplify right side
    2,522.12x = 4,022,640.94
  5. Step 5: Solve for x
    x = 4,022,640.94/2,522.12
  6. Step 6: Final answer
    x = 1,594.94

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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.