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Finding the Fourth Proportional to 3,298.99, 4,938.16 and 1,833.43

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Solution

The fourth proportional to 3,298.99, 4,938.16 and 1,833.43 is: 2,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.99 : 4,938.16 = 1,833.43 : x
  2. Step 2: Convert to fraction form
    3,298.99/4,938.16 = 1,833.43/x
  3. Step 3: Cross multiply
    3,298.99x = 4,938.16 × 1,833.43
  4. Step 4: Simplify right side
    3,298.99x = 9,053,770.69
  5. Step 5: Solve for x
    x = 9,053,770.69/3,298.99
  6. Step 6: Final answer
    x = 2,744.41

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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.