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Finding the Fourth Proportional to 2,233.54, 3,350.30 and 1,747

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Solution

The fourth proportional to 2,233.54, 3,350.30 and 1,747 is: 2,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.54 : 3,350.30 = 1,747 : x
  2. Step 2: Convert to fraction form
    2,233.54/3,350.30 = 1,747/x
  3. Step 3: Cross multiply
    2,233.54x = 3,350.30 × 1,747
  4. Step 4: Simplify right side
    2,233.54x = 5,852,974.10
  5. Step 5: Solve for x
    x = 5,852,974.10/2,233.54
  6. Step 6: Final answer
    x = 2,620.49

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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.