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Finding the Fourth Proportional to 1,684.32, 2,324.22 and 938.22

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Solution

The fourth proportional to 1,684.32, 2,324.22 and 938.22 is: 1,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.32 : 2,324.22 = 938.22 : x
  2. Step 2: Convert to fraction form
    1,684.32/2,324.22 = 938.22/x
  3. Step 3: Cross multiply
    1,684.32x = 2,324.22 × 938.22
  4. Step 4: Simplify right side
    1,684.32x = 2,180,629.69
  5. Step 5: Solve for x
    x = 2,180,629.69/1,684.32
  6. Step 6: Final answer
    x = 1,294.66

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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.