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Finding the Fourth Proportional to 2,524.96, 3,484.38 and 2,450.44

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Solution

The fourth proportional to 2,524.96, 3,484.38 and 2,450.44 is: 3,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.96 : 3,484.38 = 2,450.44 : x
  2. Step 2: Convert to fraction form
    2,524.96/3,484.38 = 2,450.44/x
  3. Step 3: Cross multiply
    2,524.96x = 3,484.38 × 2,450.44
  4. Step 4: Simplify right side
    2,524.96x = 8,538,264.13
  5. Step 5: Solve for x
    x = 8,538,264.13/2,524.96
  6. Step 6: Final answer
    x = 3,381.54

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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.