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Finding the Fourth Proportional to 2,536.25, 3,804.83 and 1,149.53

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Solution

The fourth proportional to 2,536.25, 3,804.83 and 1,149.53 is: 1,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.25 : 3,804.83 = 1,149.53 : x
  2. Step 2: Convert to fraction form
    2,536.25/3,804.83 = 1,149.53/x
  3. Step 3: Cross multiply
    2,536.25x = 3,804.83 × 1,149.53
  4. Step 4: Simplify right side
    2,536.25x = 4,373,755.73
  5. Step 5: Solve for x
    x = 4,373,755.73/2,536.25
  6. Step 6: Final answer
    x = 1,724.50

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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.