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Finding the Fourth Proportional to 3,233.68, 4,843.14 and 1,932.48

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Solution

The fourth proportional to 3,233.68, 4,843.14 and 1,932.48 is: 2,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.68 : 4,843.14 = 1,932.48 : x
  2. Step 2: Convert to fraction form
    3,233.68/4,843.14 = 1,932.48/x
  3. Step 3: Cross multiply
    3,233.68x = 4,843.14 × 1,932.48
  4. Step 4: Simplify right side
    3,233.68x = 9,359,271.19
  5. Step 5: Solve for x
    x = 9,359,271.19/3,233.68
  6. Step 6: Final answer
    x = 2,894.31

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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.