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Finding the Fourth Proportional to 2,523.64, 3,786.06 and 792.26

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Solution

The fourth proportional to 2,523.64, 3,786.06 and 792.26 is: 1,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.64 : 3,786.06 = 792.26 : x
  2. Step 2: Convert to fraction form
    2,523.64/3,786.06 = 792.26/x
  3. Step 3: Cross multiply
    2,523.64x = 3,786.06 × 792.26
  4. Step 4: Simplify right side
    2,523.64x = 2,999,543.90
  5. Step 5: Solve for x
    x = 2,999,543.90/2,523.64
  6. Step 6: Final answer
    x = 1,188.58

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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.