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Finding the Fourth Proportional to 3,233.50, 4,462.85 and 1,836.25

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Solution

The fourth proportional to 3,233.50, 4,462.85 and 1,836.25 is: 2,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.50 : 4,462.85 = 1,836.25 : x
  2. Step 2: Convert to fraction form
    3,233.50/4,462.85 = 1,836.25/x
  3. Step 3: Cross multiply
    3,233.50x = 4,462.85 × 1,836.25
  4. Step 4: Simplify right side
    3,233.50x = 8,194,908.31
  5. Step 5: Solve for x
    x = 8,194,908.31/3,233.50
  6. Step 6: Final answer
    x = 2,534.38

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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.