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Finding the Fourth Proportional to 2,656.43, 3,984.10 and 2,524.70

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Solution

The fourth proportional to 2,656.43, 3,984.10 and 2,524.70 is: 3,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.43 : 3,984.10 = 2,524.70 : x
  2. Step 2: Convert to fraction form
    2,656.43/3,984.10 = 2,524.70/x
  3. Step 3: Cross multiply
    2,656.43x = 3,984.10 × 2,524.70
  4. Step 4: Simplify right side
    2,656.43x = 10,058,657.27
  5. Step 5: Solve for x
    x = 10,058,657.27/2,656.43
  6. Step 6: Final answer
    x = 3,786.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.