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Finding the Fourth Proportional to 1,924.50, 2,884.77 and 829.56

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Solution

The fourth proportional to 1,924.50, 2,884.77 and 829.56 is: 1,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.50 : 2,884.77 = 829.56 : x
  2. Step 2: Convert to fraction form
    1,924.50/2,884.77 = 829.56/x
  3. Step 3: Cross multiply
    1,924.50x = 2,884.77 × 829.56
  4. Step 4: Simplify right side
    1,924.50x = 2,393,089.80
  5. Step 5: Solve for x
    x = 2,393,089.80/1,924.50
  6. Step 6: Final answer
    x = 1,243.49

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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.