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Finding the Fourth Proportional to 2,528.99, 3,793.50 and 773.99

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Solution

The fourth proportional to 2,528.99, 3,793.50 and 773.99 is: 1,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.99 : 3,793.50 = 773.99 : x
  2. Step 2: Convert to fraction form
    2,528.99/3,793.50 = 773.99/x
  3. Step 3: Cross multiply
    2,528.99x = 3,793.50 × 773.99
  4. Step 4: Simplify right side
    2,528.99x = 2,936,131.07
  5. Step 5: Solve for x
    x = 2,936,131.07/2,528.99
  6. Step 6: Final answer
    x = 1,160.99

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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.