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Finding the Fourth Proportional to 2,524.08, 3,786.08 and 985.08

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Solution

The fourth proportional to 2,524.08, 3,786.08 and 985.08 is: 1,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.08 : 3,786.08 = 985.08 : x
  2. Step 2: Convert to fraction form
    2,524.08/3,786.08 = 985.08/x
  3. Step 3: Cross multiply
    2,524.08x = 3,786.08 × 985.08
  4. Step 4: Simplify right side
    2,524.08x = 3,729,591.69
  5. Step 5: Solve for x
    x = 3,729,591.69/2,524.08
  6. Step 6: Final answer
    x = 1,477.60

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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.