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Finding the Fourth Proportional to 1,684.31, 2,324.37 and 938.33

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Solution

The fourth proportional to 1,684.31, 2,324.37 and 938.33 is: 1,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.31 : 2,324.37 = 938.33 : x
  2. Step 2: Convert to fraction form
    1,684.31/2,324.37 = 938.33/x
  3. Step 3: Cross multiply
    1,684.31x = 2,324.37 × 938.33
  4. Step 4: Simplify right side
    1,684.31x = 2,181,026.72
  5. Step 5: Solve for x
    x = 2,181,026.72/1,684.31
  6. Step 6: Final answer
    x = 1,294.91

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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.