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Finding the Fourth Proportional to 2,731.50, 3,770.73 and 1,684.17

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Solution

The fourth proportional to 2,731.50, 3,770.73 and 1,684.17 is: 2,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.50 : 3,770.73 = 1,684.17 : x
  2. Step 2: Convert to fraction form
    2,731.50/3,770.73 = 1,684.17/x
  3. Step 3: Cross multiply
    2,731.50x = 3,770.73 × 1,684.17
  4. Step 4: Simplify right side
    2,731.50x = 6,350,550.34
  5. Step 5: Solve for x
    x = 6,350,550.34/2,731.50
  6. Step 6: Final answer
    x = 2,324.93

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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.